dc.contributor.author

value: Dzhabrailov, Аkhmed L.

value: Shishkina, Elina L.

dc.identifier.citation

value: Dzhabrailov А. L., Shishkina E. L. On the generalized Bessel potential and perfect functional completion. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 200–211. https://doi.org/10.21638/spbu01.2023.202 (In Russian)

dc.description.abstract

value:
The class of generalized Bessel potentials is the main object of study in this article. The
generalized Bessel potential is a negative real power of the operator (I −Δγ), where Δγ =
n

k=1
1
x
γk
k
∂
∂xk
xγk
k
∂
∂xk
— Laplace—Bessel operator, γ = (γ1, . . . , γn) — multi-index consisting
of positive fixed real numbers. When solving various problems for differential equations,
proving embedding theorems for some classes of functions, and inverting integral operators,
there is a need to consider functions up to some small, from the point of view of the
problem under consideration, set. Often a set of Lebesgue measure zero is taken as such
a small set. However, often the sets of Lebesgue measure zero turn out to be too large to
be neglected. For example, when solving a boundary problem, the behavior of the solution
on the boundary is essential. In this regard, there was a need to construct complete classes
of admissible functions suitable for solving specific problems. N. Aronshine and K. Smith
presented two stages of constructing a functional completion. The first of these is finding a
suitable class of exceptional sets. The second is to find the functions defined modulo these
exceptional classes that need to be attached to get a complete functional class. It turns
out that there can be infinitely many suitable exceptional classes in a particular problem,
but each of them corresponds essentially to one functional completion. It is clear that
the most suitable functional completion is the one whose exceptional class is the smallest,
since then the functions will be defined with the best possible accuracy. Whenever such a
minimal exceptional class exists, the corresponding functional completion is called a perfect
completion. In this paper, perfect completions are constructed from the norm associated
with the kernel of the generalized Bessel potential.

dc.description.sponsorship

value:
The work of A. L. Dzhabrailov was supported by the Ministry of Education and Science of the
Russian Federation under the state task FEGS-2020-0001.

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2

dc.subject

value: generalized Bessel potential

value: perfect completion of spaces

dc.type

value: Article


dc.contributor.author

value: Kustova, E. V.

value: Nazarov, A. I.

dc.identifier.citation

value: Scientific schools of mathematics, mechanics, astronomy of St Petersburg University: On the 300th anniversary of St Petersburg State University. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 185–186.

dc.language.iso

value: ru

format: Adobe PDF


dc.contributor.author

value: Ermakov, Sergei M.

value: Melas, Vyacheslav B.

dc.identifier.citation

value: Ermakov S.M., Melas V.B. Stochastical computation methods and experimental designing. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 187–199. https://doi.org/10.21638/spbu01.2023.201 (In Russian)

dc.description.abstract

value:
This paper contains a brief review of the most important results obtained by the staff of the
department of statistical modeling. Results include mathematical justification of computer
simulation of randomness, stochastic methods of solving equations, stochastic optimization,
study of stochastic stability and parallelism of Monte-Carlo algorithms. In the area
of experiment planning, special attention is paid to regression experiment under nonlinear
parameterization. The list of references mainly includes monographs written by members
of the department. The exceptions are some articles with results not included in them.

dc.subject

value: stochastic modeling

value: Monte-Carlo method

value: pseudorandom numbers

value: Markov chains

value: stochastic optimization

value: regression experiment

value: optimal experiment design

value: regression models nonlinear in parameters

value: functional approach

value: hyper exponential models

value: fractionally rational models

value: locally optimal experimental designs


dc.contributor.author

value: Krivulin, Nikolai K.

dc.identifier.citation

value: Krivulin N.K. On solution of two-sided vector equation in tropical algebra. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 236–248. https://doi.org/10.21638/spbu01.2023.205 (In Russian)

dc.description.abstract

value:
The problem of solving, in the context of tropical mathematics, a vector equation with
two given matrices and unknown vectors, each part of which has the form of a product
of one of the matrices and an unknown vector, is considered. Such an equation, which
has unknown vectors on either side of the equal sign, is often called a two-sided equation.
A new procedure for solving the two-sided equation is proposed based on minimizing a
certain distance function between vectors of tropical vector spaces that are generated by
the columns of each of the matrices. As a result of the procedure, a pair of vectors is
obtained, which provides a minimum distance between spaces and the value of the distance
itself. If the equation has solutions, then the resulting vectors are the solution to the
equation. Otherwise, these vectors define a pseudo-solution that minimizes the deviation
of one side of the equation from the other. The execution of the procedure consists in
constructing a sequence of vectors that are pseudo-solutions of the two-sided equation in
which the left and right sides are alternately replaced by constant vectors. Unlike the wellknown
alternating algorithm, in which the corresponding inequalities are solved one by one
instead of equations, the proposed procedure uses a different argument, looks simpler, and
allows one to establish natural criteria for completing calculations. If the equation has no
solutions, the procedure also finds a pseudo-solution and determines the value of the error
associated with it, which can be useful in solving approximation problems.

value: ru

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2

dc.subject

value: idempotent semifield

value: tropical vector space

value: generalized metric

value: two-sided vector equation

value: iterative computational procedure

value: pseudo-solution

dc.type

value: Article


dc.contributor.author

value: Ermakov, Mikhail S.

value: Kapatsa, David Yu.

dc.identifier.citation

value: Ermakov M. S., Kapatsa D.Yu. On uniform consistency of Neyman’s type nonparametric tests. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 212–225. https://doi.org/10.21638/spbu01.2023.203 (In Russian)

dc.description.abstract

value:
The goodness-of-fit problem is explored, when the test statistic is a linear combination of
squared Fourier coefficients’ estimates coming from the Fourier decomposition of a probability
density. Common examples of such statistics include Neyman’s test statistics and test statistics, generated by L2-norms of kernel estimators. We prove the asymptotic normality
of the test statistic for both the null and alternative hypothesis. Using these results
we deduce conditions of uniform consistency for nonparametric sets of alternatives, which
are defined in terms of distribution or density functions. Results on uniform consistency,
related to the distribution functions, can be seen as a statement showing to what extent
the distance method, based on a given test statistic, makes the hypothesis and alternatives
distinguishable. In this case, the deduced conditions of uniform consistency are close
to necessary. For sequences of alternatives — defined in terms of density functions — approaching
the hypothesis in L2-metric, we find necessary and sufficient conditions for their
consistency. This result is obtained in terms of the concept of maxisets, the description of
which for given test statistics is found in this publication.

dc.description.sponsorship

value: This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00273).

dc.subject

value: nonparametric hypothesis testing

value: goodness of fit tests

value: Neyman’s test

value: consistency

value: nonparametric set of alternatives

value: density hypothesis testing


dc.contributor.author

value: Kolesnikov, Alexey M.

value: Letunova, Daria A.

dc.identifier.citation

value: Kolesnikov A. M., Letunova D.A. Finite deformations of a bilayer dielectric nonlinear elastic anisotropic tube under an electric field. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 305–314. https://doi.org/10.21638/spbu01.2023.211 (In Russian)

dc.description.abstract

value:
In this paper the problem of finite deformations of a dielectric tube under the action of
an electric field is considered. The tube consists of two layers, each spirally reinforced with
fibres. The angles of the fibres in each layer are different. On the inner and outer surfaces
of the tube and between the layers are flexible electrodes. The electric field is induced by
applying voltage to the first or second layer, i. e. either to the electrodes on the inner side
surface and between the layers, or to the electrodes between the layers and on the outer side
surface. A simple model of an electroactive anisotropic incompressible material is considered
in the analysis. The potential energy function is represented by the sum of the energy of
the isotropic matrix in Gent form, the simplest electrical component and the energy of the
reinforced fibres. Using a semi-inverse method, the static problem of the three-dimensional
body is reduced to integral equations with respect to the tube deformation parameters: the
radius of the outer layer, the multiplicity of longitudinal elongation and the twist angle.
The influence of layer thickness on tube deformation under quasi-static increase of voltage
is investigated. The purpose of this work is to determine the thickness of the layers at which
the application of voltage to the different layers will cause the tube to twist in different
directions.

dc.description.sponsorship

value: The work is supported by the Government of Russian Federation (grant no. 14.Z50.31.0046).

dc.language.iso

value: ru

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2

dc.subject

value: nonlinear electroelasticity

value: dielectric elastomer

value: reinforcement

value: tubular actuators

value: soft robots


dc.contributor.author

value: Ermakov, Sergei M.

value: Leora, Svetlana N.

dc.identifier.citation

value: Ermakov S.M., Leora S.N. Separation of the roots of the systems of nonlinear equations. Stochastic approach. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 226–235. https://doi.org/10.21638/spbu01.2023.204 (In Russian)

dc.description.abstract

value:
The work is devoted to the actual problem of separating the roots of nonlinear systems of
equations in the case of many variables. The well-known method of reducing the problem
of solving the system to an equivalent extremal problem, which is supposed to be solved by
one of the methods of stochastic optimization. The annealing simulation modeling method
and its modification are chosen, which are especially interesting in that they allow efficient
implementation on quantum computers. Since quantum ccomputers based on simulated
annealing demonstrate quantum superiority, the results obtained can be useful in solving
systems of equations on these computing systems.

dc.description.sponsorship

value: This paper was supported by Saint Petersburg State University, project ID: 93024916.

dc.subject

value: absolute extremum

value: simulated annealing

value: systems of equations

value: root separation

value: quantum computing

dc.title

value: Article


dc.contributor.author

value: Pavlov, Dmitriy A.

dc.identifier.citation

value: Pavlov D.А. Lp-norm approximation of Hölder functions by harmonic functions on some multidimensional compact sets. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 259–269. https://doi.org/10.21638/spbu01.2023.207 (In Russian)

dc.description.abstract

value:
In this paper we consider the class of Hölder functions in the sense of Lp norm on certain
compacts in Rm (m   3) and prove theorems on approximation by functions harmonic in
neighborhoods of these compacrs. These compacts are a generalization to the higher dimensions
of the concept of chord-arc curve in R3. The size of the neighborhood decreases along
with an increase in the accuracy of the approximation. Estimates of the approximation rate
and the gradient of the approximation functions are made in the same Lp-norm.

dc.language.iso

value: ru

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2

dc.subject

value: constructive description

value: Hölder classes

value: approximation

value: harmonic functions

value: chord-arc curves


dc.contributor.author

value: Touail, Youssef

value: Jaid, Amine

value: El Moutawakil, Driss

dc.identifier.citation

value: Touail Y., Jaid A., El Moutawakil D. Fixed point theorem via measure of noncompactness for a new kind of contractions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 270–276. https://doi.org/10.21638/spbu01.2023.208 (In Russian)

dc.description.abstract

value:
In this paper, we will use the notion of α-admissible mappings in Banach spaces, to introduce
the concept of Tβ-contractive mappings and establish a fixed point theorem for this
type of contractions. Our theorems generalize and improve many results in the literature.
Moreover, we apply the main result to prove the existence of a solution for Volterra-integral
equation, under more general assumptions than previously made.

value: fixed point

value: measure of non-compactness

value: α-admissible

value: Tβ-contractive mapping

value: regularity


dc.contributor.author

value: Morozov, Nikita F.

value: Indeitsev, Dmitriy A.

value: Lukin, Alexei V.

value: Popov, Ivan A.

value: Shtukin, Lev V.

dc.identifier.citation

value: Morozov N. F., Indeitsev D.A., Lukin A.V., Popov I.A., Shtukin L.V. On optothermally excited parametric oscillations of microbeam resonators. I. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 315–333. https://doi.org/10.21638/spbu01.2023.212 (In Russian)

dc.description.abstract

value:
The present article is the first part of the work devoted to investigation of the nonlinear
dynamics of parametrically excited flexural vibrations of a clamped-clamped microbeam —
the basic sensitive element of a promising class of microsensors of various physical quantities
— under laser thermooptical action in the form of periodically generated pulses acting on a certain part of the surface of the beam element. An analytical solution of the heat
transfer problem is found for the steady harmonic distribution of temperature in the volume
of the resonator. The static and dynamic components of temperature-induced axial
force and bending moment are determined. Using the Galerkin method, the discretization
of nonlinear coupled partial differential equations describing the longitudinal-flexural oscillations
of the resonator is performed. Using the asymptotic method of multiple time-scales,
an approximate analytical solution is obtained for the nonlinear dynamics problem under
the conditions of primary parametric resonance.

dc.description.sponsorship

value: This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00537).

dc.language.iso

value: ru

dc.publisher

value: St Petersburg State University

value: nonlinear dynamics

value: parametric oscillations

value: Bernoulli—Euler beam

value: modal interaction

value: laser-induced opto-thermal excitation

dc.type

value: Article


dc.contributor.author

value: Igumnova, Vasilisa S.

dc.identifier.citation

value: Indeitsev D.A., Igumnova V. S., Lukin A. V., Popov I. A., Shtukin L. V. Differential resonant MEMS accelerometer: Synchronization characteristics of weakly coupled microbeam sensing elements. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 289–304. https://doi.org/10.21638/spbu01.2023.210 (In Russian)

dc.description.abstract

value:
This work is devoted to studying the conditions and scenarios for synchronizing oscillations
of weakly coupled microbeam elements of a differential resonant MEMS accelerometer operating
in the dual-loop self-oscillator mode. The model of a system of two Van der Pol
self-oscillators with a nonlinear elastic coupling between moving elements, obtained using
the Galerkin method, was studied using the multiscale method. The modes of beats and
synchronization of oscillations of two resonators are found analytically and numerically, and
the boundary between these modes in the space of system parameters is determined. Along
with a local bifurcation analysis of the considered stationary regimes, a global analysis of
the evolution and branching of limit cycles in the space of slow variables was also carried
out, which made it possible to detect zones of coexistence of stable synchronization and
beat regimes with their basins of attraction. The influence of the factor of the designed or technologically determined non-identity of the design of two resonators on the location of
the parametric zones of synchronization and beats is studied.

dc.description.sponsorship

value:
The research is funded by Russian Science Foundation grant no. 21-71-10009,
https://rscf.ru/en/project/21-71-10009/

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2

dc.subject

value: resonant accelerometer

value: weakly coupled systems

value: synchronizing oscillations

value: Van der Pol oscillator


dc.contributor.author

value: Batalov, Semyon A.

value: Kustova, Elena V.

dc.identifier.citation

value: Batalov S.A.,Kustova E.V. Modeling of nonequilibrium processes behind a shock wave in a mixture of carbon dioxide and argon. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 277–288. https://doi.org/10.21638/spbu01.2023.209 (In Russian)

dc.description.abstract

value:
A closed self-consistent model of a nonequilibrium flow of a mixture of carbon dioxide
and argon behind the front of a plane shock wave is developed. The generalized Chapman—
Enskog method is used in the three-temperature approach, taking into account various
channels of vibrational relaxation in carbon dioxide. An extended system of Navier—
Stokes—Fourier equations is written, consisting of the equations of conservation of mass,
momentum and energy, supplemented by the diffusion equations of the mixture components
and relaxation equations for the vibrational modes of the CO2 molecule. The constitutive
relations for the stress tensor, diffusion velocity, heat flux and vibrational energy fluxes are
obtained. An algorithm for calculating the coefficients of shear and bulk viscosity, thermal
conductivity of various degrees of freedom, diffusion and thermal diffusion has been developed
and implemented. The model was validated by comparison with experimental data
for the viscosity and thermal conductivity of carbon dioxide and argon, as well as for the
binary diffusion coefficient. Satisfactory agreement with the experiment was obtained. The
dependence of the transport coefficients on the gas temperature, temperatures of vibrational
modes and mixture composition is analyzed. The developed model is ready for use
in numerical simulation of shock waves in a mixture of CO2–Ar.

dc.description.sponsorship

value: The work is supported by Saint Petersburg State University (project ID 93022273).

dc.language.iso

value: ru

dc.subject

value: transport coefficients

value: three-temperature model

value: shock wave

value: carbon dioxide

value: argon


dc.contributor.author

value: Melas, Vyacheslav B.

dc.identifier.citation

value: Melas V.B. On the asymptotic power of a method for testing hypothesis about equality of distributions. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 249–258. https://doi.org/10.21638/spbu01.2023.206 (In Russian)

dc.description.abstract

value:
The paper is devoted to studying the asymptotic power of a method for testing hypothesis
on equality of two distributions that can be considered as a generalization of Mann—
Whitney—Wilcoxon test. We consider a class of distributions such that the expectation of
the square of an auxiliary function is finite. For the case when alternative distribution differ
from the initial one only by a shift the asymptotic distribution and asymptotic power of
the test are found explicitly. Up to now the power of the test was studied only by stochastic
simulation.

dc.description.sponsorship

value: This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00096-a).

dc.publisher

value: St Petersburg State University

dc.subject

value: asymptotic power of statististical tests

value: Normal distribution

value: Cashy distribution

dc.title

value: Article


dc.identifier.citation

value: Session of Prof. N.N. Polyakhov theoretical mechanics section of the M. Gorky House of Scientists. October 5, 2022. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, p. 314.

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2


dc.identifier.citation

value: Session of Prof. N.N. Polyakhov theoretical mechanics section of the M. Gorky House of Scientists. September 21, 2022. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, p. 304.

dc.language.iso

value: ru


dc.contributor.author

value: Khrapov, Sergey S.

dc.identifier.citation

value: Khrapov S. S. Numerical modeling of hydrodynamic accidents: Erosion of dams and flooding of territories. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 357–373. https://doi.org/10.21638/spbu01.2023.215 (In Russian)

dc.description.abstract

value:
A mathematical and numerical model of the joint dynamics of surface water and traction
sediment is built, which takes into account the nonlinear dynamics of fluid and bottom deformation.
The dynamics of surface waters is described by the equations of Saint-Venant,
taking into account the spatially inhomogeneous distribution of the terrain. The transport
of sediment loads is described by the nonlinear Exner equation, generalized to the case of a
spatially inhomogeneous distribution of the parameters of the underlying surface. For the
numerical integration of the Saint-Venant and Exner equations, a stable and well-tested
CSPH-TVD method of the second order of accuracy is used, the parallel CUDA algorithm of which is implemented as a software package “EcoGIS-Simulation” for high-performance
computing on supercomputers with graphic coprocessors (GPU). Hydrodynamic modeling
of the processes of erosion of the enclosing dam of a real hydraulic facility and flooding of
adjacent territories has been carried out. The parameters of the penetration of the enclosing
dam and flooding zones, formed as a result of the development of a hydraulic accident at
the tailing dump, have been determined. Based on the results obtained, it was concluded
that the proposed method for numerical modeling of the joint dynamics of surface water
and traction sediment can be more universal.

dc.description.sponsorship

value:
The authors thank the Ministry of Science and Higher Education of the Russian Federation for
financial support (government task no. 0633-2020-0003).

dc.subject

value: mathematical modeling

value: Saint-Venant and Exner equations

value: computational fluid dynamics

value: CSPH-TVD method

value: flood zones

value: shallow water

value: entrained sediment

value: dam breakthrough and erosion

value: tailing dump

value: parallel computing

value: CUDA algorithm


dc.contributor.author

value: Ryabov, Victor M.

value: Yartsev, Boris A.

dc.identifier.citation

value: Ryabov V. M., Yartsev B.A. Composite wing vibration coupling control. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 344–356. https://doi.org/10.21638/spbu01.2023.214 (In Russian)

dc.description.abstract

value:
The paper discusses the possibility to control coupled bending-twisting vibrations of composite
wing by means of the monoclinic structures in the reinforcement of the plating.
Decomposing the potential straining energy and kinetic energy of natural vibration modes
into interacting and non-interacting parts, it became possible to introduce the two coefficients
that integrally consider the effect of geometry and reinforcement structure upon
the dynamic response parameters of the wing. The first of these coefficients describes the
elastic coupling of the natural vibration modes, the second coefficient describes the inertial
one. The paper describes the numerical studies showing how the orientation of considerably
anisotropic CRP layers in the plating affects natural frequencies, loss factors, coefficients of
elastic and inertial coupling for several lower tones of natural bending-twisting vibrations of
the wing. Besides, for each vibration mode, partial values of the above mentioned dynamic response parameters were determined by means of the relationships for orthotropic structures
where instead of “free” shearing modulus in the reinforcement plant, “pure” shearing
modulus is used. Joint analysis of the obtained results has shown that each pair of bendingtwisting
vibration modes has its orientation angle ranges of the reinforcing layers where
the inertial coupling caused by asymmetry of the cross-section profile with respect to the
main axes of inertia decreases, down to the complete extinction, due to the generation of
the elastic coupling in the plating material. These ranges are characterized by the two main
features: 1) the difference in the natural frequencies of the investigated pair of bendingtwisting
vibration modes is the minimum and 2) natural frequencies of bending-twisting
vibrations belong to a stretch restricted by corresponding partial natural frequencies of the
investigated pair of vibration modes. This result is of practical importance because it enables
approximate analysis of real composite wings with complex geometry in the existing
commercial software packages.

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2

dc.subject

value: composite wing

value: coupled vibrations

value: elastic coupling

value: inertial connectivity

value: natural frequency

value: loss factors

dc.type

value: Article


dc.contributor.author

value: Nesterchuk, Grigory A.

value: Smirnov, Andrei L.

value: Filippov, Sergei B.

dc.identifier.citation

value: Nesterchuk G.A., SmirnovA. L., Filippov S.B. Natural vibrations of a cylindrical shell with the end cap. II. Analysis of the spectrum. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, pp. 334–343. https://doi.org/10.21638/spbu01.2023.213 (In Russian)

dc.description.abstract

value:
Using numerical and asymptotic methods, the lowest natural frequencies and vibration
modes of a structure consisting of a closed circular cylindrical shell with an end cap attached
to it, having the shape of a shallow spherical segment, are studied in the paper. Three
types of natural vibrations of the structure are described. Eigenfrequencies and modes of
vibrations of the first type, close to the frequencies and modes of vibrations of a shallow
spherical shell, were studied in previous works. In this paper, we study the forms and
frequencies of the second type of vibrations (cylindrical shell) and the third type (cantilever
beam with the load). An optimization problem is solved to determine the values of the
structure parameters, the relative thickness of its elements and the curvature of the end
cap, at which the minimum value of the natural frequency is maximum. A comparison of
the asymptotic and numerical results reveals their good agreement.

dc.description.sponsorship

value: The research was supported by the Russian Science Foundation (project no. 23-21-00111).

dc.language.iso

value: ru

dc.subject

value: joint thin shells

value: free vibrations

value: asymptotic methods

value: optimization


dc.identifier.citation

value: On the 60th anniversary of Alexandr Il’ich Nazarov. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, p. 374 - 376.

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10; Issue 2


dc.identifier.citation

value: Session of Prof. N.N. Polyakhov theoretical mechanics section of the M. Gorky House of Scientists. November 23, 2022. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, p. 356.


dc.identifier.citation

value: Session of Prof. N.N. Polyakhov theoretical mechanics section of the M. Gorky House of Scientists. November 2, 2022. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 2, p. 343.


title: L. I. Ludmila Verbitskaya International Scientific Philological Conference, March 14–21, 2023, St. Petersburg: The Book of Abstracts.

dc.description.abstract

value:
The papers reflect the results of the research, both fundamental and applied, devoted to a wide range
of problems in different areas, such as “History of Literature”, “Classical Philology, Biblical, Byzantineand
Modern Greek and Balkan Studies”, “Cultural Anthropology and Theoretical Aspects of the Humanities”,
“Interdisciplinary Studies”, “Russian Language”, “Russian as a Foreign Language and Methods
of Teaching”, “General Linguistics”, “Romance and Germanic Philology”, “Slavic Studies”, “A. V. Fedorov
Translation Studies”, and “Theory and Practice of Foreign Language Teaching. Testology”. Of interest
to students of linguistics, literature and culture, as well as translators, teachers and undergraduate and
graduate students specializing in different realms of philology.
Languages: Russian, English and French.
Published in the authors’ versions.

dc.type

value: Book

filename: 123061_51 МФК_эл макет.pdf


title: Экспертное заключение по информационным материалам запроса ГУ МВД России по г. Санкт-Петербургу и Ленинрадской области (Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства)

dc.description.abstract

value: Abstract

dc.subject

value: госорганы

value: ГУ МВД

value: сведения о днях воинской славы

value: защита Отечества

value: осквернение символов воинской славы

value: Международный военный трибунал

dc.title

value: Other


dc.subject

value: информационные материалы

value: социальная группа

value: унижение достоинства человека

value: признаки возбуждения розни (вражды, ненависти)

value: пропаганда нетрадиционных сексуальных отношений

value: Экспертное заключение по информационным материалам запроса ГУ МВД России по г. Санкт-Петербургу и Ленинрадской области (Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства)


title: the database on the verification of the works of "Krona junior"

dc.contributor.author

value: Varvara Varkki

dc.description.abstract

value: feedback, sandwich

dc.language.iso

value: ru

dc.type

value: Dataset

format: Microsoft Excel XML


dc.title

value: the database on the verification of the works of "Krona junior"

filename: Данные о проверке 7-8 класс.xlsx

filename: Данные о проверке 9-11 классы.xlsx


dc.description

value: Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства

dc.subject

value: Международный военный трибунал

value: признаки отрицания фактов


title: ЭКСПЕРТНОЕ ЗАКЛЮЧЕНИЕ по информационным материалам запроса ГУ МВД России по г. Санкт-Петербургу и Ленинградской области (Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства)

value: МВД России

value: признаки оправдания деяний


dc.contributor.author

value: Smirnov, A.N.

value: Aslanov, S.F.

value: Danilov, D.V.

value: Kurapova, O.Y.

value: Solovyeva, E.V.

dc.identifier.citation

value: A.N. Smirnov, S.F. Aslanov, D.V. Danilov, O.Y. Kurapova, E.V. Solovyeva, One-Pot Synthesis of Silica-Coated Gold Nanostructures Loaded with Cyanine 5.5 for Cell Imaging by SERS Spectroscopy, Nanomaterials 13 (2023) 1267. https://doi.org/10.3390/nano13071267.

dc.description.abstract

value: Anisotropic gold nanoparticles have been recognized as promising agents for medical diagnostics and cancer therapy due to their wide functionality, photothermal effect and ability for optical signal amplification in the near-infrared range. In this work, a simple and rapid method for the preparation of bone-shaped gold nanoparticles coated with a dye-impregnated silica shell with an aminated surface is proposed. The possibility of further functionalization the nanostructures with a delivery vector using folic acid as an example is demonstrated. The average size of the resulted tags does not exceed 70 nm meeting the criteria of cell endocytosis. The prepared tags ehxibit surface-enhanced Raman scattering (SERS) spectra at excitation with lasers of 632.8 and 785 nm. Cell imaging is performed on HeLa cells based on the most pronounced SERS bands as tracking signal. The obtained images along with scanning electron microscopy of cell samples revealed the tendency of tags to agglomerate during endocytosis followed by the "hot spots" effect. To evaluate the toxic and proliferative effect of the nanotags, MTT assay was performed with two HeLa and HEP G2 cell lines. The results revealed higher viability for HEP G2 cells.

dc.description.sponsorship

value: Saint-Petersburg State University for support within the project 94031307 (part 3.2); Russian Science Foundation, grant № 22-73-10052 (parts 3.1, 3.3, 3.4)

dc.language.iso

value: en

dc.publisher

value: MDPI

value: gold nanoparticles

value: silicon oxide

value: one-pot synthesis

value: tag

value: SERS

value: bioimaging

value: cyanine

dc.type

value: Article

description: Paper


dc.description.abstract

value: Abstract

dc.language.iso

value: ru

dc.subject

value: госорганы

value: МВД России

value: информационный материал

value: признаки призыва к враждебным действиям

value: осквернение символов воинской славы России

value: оскорбление памяти защитников Отечества

value: признаки возбуждения розни

dc.title

value: ЭКСПЕРТНОЕ ЗАКЛЮЧЕНИЕ по информационным материалам запроса ГУ МВД России по г. Санкт-Петербургу и Ленинградской области (Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства)

value: Other


title: Supplementary material for the paper “Can partial cooperation between developed and developing countries be stable?” By Shimai Su and Elena M. Parilina

dc.contributor.author

value: Su, Shimai

value: Elena, Parilina

dc.description.abstract

value: Supplementary material for the paper “Can partial cooperation between developed and developing countries be stable?” written by Shimai Su and Elena M. Parilina

dc.language.iso

value: en

filename: SuParilina_ Supplementary Material.pdf


title: Информационно – аналитические модели организации трудовых процессов / аудиокнига

dc.contributor.author

value: Величко, Елена Александровна

value: Давыдовский, Федор Николаевич

dc.description.abstract

value: Переход отечественных предприятий и организаций к регулированию трудовых отношений с сотрудниками на основе действующих профессиональных стандартов по-прежнему остается очень сложной и многообразной задачей. Трудности, возникающие в процессе такого перехода, вызваны не столько новизной возникающих при этом проблем, сколько недостаточной проработанностью целого ряда вопросов методического характера. Устранению подобного несоответствия может, по мнению авторов, способствовать широкое применение методов построения информационно - аналитических моделей, основанных на функциональном анализе содержания должностей и регламентации управленческого труда.

dc.publisher

value: ЛитРес Самиздат

dc.subject

value: Информационное моделирование, научная организация труда, реинжиниринг

dc.type

value: Book

format: Unknown


dc.contributor.author

value: Sun, Ping

value: Parilina, Elena

dc.description.abstract

value: Supplementary material for the paper “Dynamically stable partitions in networks with the costs dependent on neighborhood composition” by Ping Sun and Elena Parilina


dc.description

value: Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства

dc.description.abstract

value: Abstract

dc.subject

value: информационный материал

value: признаки возбуждения розни (вражды, ненависти)

value: сведения, порочащие честь и достоинство


title: Зоологический кабинет: История одной фотографии

dc.contributor.author

value: Романова, Е. А.

dc.description.abstract

value:
21 марта 2023 года в 17.00 в читальном зале Научной библиотеки (Университетская наб.7-9) состоялась открытая лекция главного библиографа Романовой Е.А. "Зоологический кабинет, или История одной фотографии". Фотография – уникальное явление, застывший кусочек жизни, возможность вернуться назад, в прошлое. Парадокс снимков в том, что они, пройдя через время, переживают своих героев. Этих людей давно уже нет, но в то же время мы смотрим — и вот они: веселы, счастливы, живы. Старые фотографии хранят молчаливую правду о прошлом, и пробуждают желание понять то время и тех людей, которые смотрят с потемневших изображений. Что же скрывается за небольшой фотографией студентов и сотрудников Университета? О чем она может поведать нам? Может быть, о судьбах, историях и… книгах?

В ходе лекции слушатели узнали об ученых-зоологах, изображенных на фотографии, познакомятся с их биобиблиографией. Особое внимание уделено изданиям по истории С.-Петербургского университета.

dc.language.iso

value: ru

dc.type

value: Working Paper


title: ЭКСПЕРТНОЕ ЗАКЛЮЧЕНИЕ по информационным материалам запроса прокуратуры Санкт-Петербурга от 09.12.2022 №7-363-2022 (Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства)

dc.subject

value: госорганы

value: прокуратура

value: информационный материал

value: обоснованная ориентировочная стоимость строительных работ

value: газопровод

value: сметные нормативы

value: ООО ПетербургГаз

value: поправочные коэффициенты

value: сметная прибыль

value: газоиспользующее оборудование

value: газораспределительные сети

dc.title

value: Other

size: 5 MB


title: Основы интегрального исчисления в вопросах и ответах

dc.contributor.author

value: Сахаров, Вадим Юрьевич

value: Букаты, Вероника Ромуальдовна

value: Зорин, Игорь Святославович

value: Кропачева, Наталия Юрьевна

value: Матвеева, Мария Сергеевна

value: Шепелявая, Наталия Борисовна

dc.description.abstract

value:
Учебное пособие предназначено для студентов высших учебных заведений, обучающихся по направлениям «Экономика», «Экономика (с углубленным изучением экономики Китая и китайского языка)», «Управление персоналом», «Экономика (Экономико-математические методы)», «Бизнес информатика», «Менеджмент»,  «Государственное и муниципальное управление», «Социология», «Социологические исследования в цифровом обществе», «Химия», «Химическое материаловедение» «Общая и прикладная фонетика», «Геология», «География», «Картография и геоинформатика», «Гидрометрология», «Экология и природопользование», «Биология», «Почвоведение», «Нефтегазовое дело», «Кадастр недвижимости: оценка и информационное обеспечение», «Биоинформатика», «Биология: биоинженерные технологии».

В пособии рассматривается тема «Интегралы» из дисциплины «Математический анализ» или «Высшая математика».  Пособие основано исключительно на тех вопросах, которые задавались студентами экономического факультета СПбГУ на консультациях. Приведенные в пособии решения и оюъяснения иногда могут показаться слишком подробными, но ведь, если обучающимся этот материал оказался непонятен «с первого раза», то, естественно, отвечать приходится не только повторяя фрагмент лекции или практического занятия, но и комментируя его с разных сторон.

Настоящее пособие может быть полезно для студентов, изучающих общий курс высшей математики самостоятельно.

dc.publisher

value: СПбГУ

dc.subject

value: интеграл

value: первообразная

value: неопределенный

value: по частям

value: замена переменной

value: простейшие дроби

value: неберущийся

value: подстановка Чебышева

value: замена Эйлера

value: определенный

value: Ньютона-Лейбница

value: криволинейная трапеция

value: подграфик

value: надграфик

value: лемниската

value: астроида

value: циклоида

value: возвратный

value: площадь

value: объём

value: длина

value: тело вращения

value: статический момент

value: несобственный

value: сходимость

value: расходимость

filename: Основы интегрального исчисления.pdf


dc.description.abstract

value: Abstract

dc.language.iso

value: ru

value: госорганы

value: МВД России

value: информационный материал

value: признаки оправдания

value: оскорбление религиозных чувств верующих

value: признаки пропаганды исключительности, превосходства

value: оправдание необходимовсти ненавистнического отношения

dc.title

value: ЭКСПЕРТНОЕ ЗАКЛЮЧЕНИЕ по информационным материалам запроса ГУ МВД России по г. Санкт-Петербургу и Ленинградской области (Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства)


dc.description

value: Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства

dc.subject

value: информационный материал

value: дни воинской славы

value: памятные даты России, связанные  с защитой Отечества

value: осквернение символов воинской славы России

value: оскорбление памяти защитников Отечества

value: унижение чести и достоинства ветерана ВОВ

dc.type

value: Other


dc.contributor.author

value: Abakumov, Evgeny

dc.identifier.citation

value: Polyakov, V.; Abakumov, E.; Nizamutdinov, T.; Shevchenko, E.; Makarova, M. Estimation of Carbon Stocks and Stabilization Rates of Organic Matter in Soils of the «Ladoga» Carbon Monitoring Site. Agronomy 2023, 13, 807. https:// doi.org/10.3390/agronomy13030807

dc.description.abstract

value:
The establishment of a network of monitoring sites (term in Russian—«carbon polygons») for
monitoring climatic processes as well as the emission and deposition of carbon compounds in various
ecosystems is one of the priority tasks in the field of climate and biosphere conservation in the world.
This paper presents the results of the study of the soil sections of the «Ladoga» carbon monitoring
site. Folic Podzol (Arenic) and Fibric Histosol were considered. These soils are widely represented
in the southern taiga subzone and can be used as benchmark monitoring soil sections. As a result of
the analysis of chemical parameters, it was revealed that Fibric Histosol and Folic Podzol (Arenic) are
characterized by an acidic reaction of pH, pronounced podsolization, and peat accumulation. Fibric
Histosol stores a significant amount of soil organic matter (SOM) up to 42.95 kgC/m2. In the analysis
of the molecular composition of humic acids (HAs) extracted from the studied soils, it was found
that HAs from Fibric Histosol were characterized by a relatively high content of aromatic structural
fragments (27–41%), while in Folic Podzol (Arenic), aliphatic structural fragments prevailed (up to 70%).
The increase of aromatic structural fragments in the HAs composition indicates the stabilization and
conservation of SOM. The creation of a monitoring network will make it possible to identify the main
trends of SOMaccumulation, determine the conditions under which accumulation occurs, and calculate
its contribution to climate change on the planet.

dc.description.sponsorship

value:
This work was supported by the project GZ_MDF_2023-1, “From carbon polygon to carbon
regulation: potential and ways of development of sequestration carbon industry on the territory of
the Leningrad Region and St. Petersburg”.

dc.language.iso

value: en

dc.publisher

value: MDPI

dc.subject

value: carbon stocks; SOM quality; HAs; 13C CP/MAS spectroscopy; Podzol; Histosol

dc.title

value: Article


title: Экспертное заключение по материалам запроса ГУ МВД России по г. Санкт-Петербургу и Ленинградской области (Отдельные фрагменты исключены из текста опубликованного заключения в целях обеспечения соблюдения требований законодательства)

dc.description.abstract

value: Abstract

dc.language.iso

value: ru

dc.subject

value: госорганы

value: МВД России

value: информационный материал

value: унижение чести и достоинства в неприличной форме

value: публичное оскорбление представителя власти


dc.contributor.author

value: Kornilina, Polina V.

dc.identifier.citation

value: Kornilina, Polina V. 2023. The doctrine of error in the law of Louisiana and Quebec. Pravovedenie 67 (1): 74–96. https://doi.org/10.21638/spbu25.2023.104 (In Russian)

dc.description.abstract

value:
The article presents the results of a comparative-legal analysis of the doctrine and practice at
the contract conclusion in the mixed legal jurisdictions of the state of Louisiana (USA) and the
province of Quebec (Canada). The jurisdictions in question were significantly influenced by the
continental civil law tradition as well as the common law tradition. Thus it is of interest to consider
how the mixed nature is reflected in the principles of error, and to the formation of which
legal structures it has led to. The author offers the results of a comparative legal study of the
mixed jurisdictions of Louisiana (USA) and Quebec (Canada), in which the doctrine of error has
received a codified regulation. The author analyzes and compares the application of the criteria
of significance of an error, in particular, such as the criteria of causality, recognizability of the
error by the opposite party, apologizability of the error. The legal consequences of significant
error in the state of Louisiana and the province of Quebec, which consist in the possibility to annul
the contract, are considered. The study is useful for the development and improvement of
the domestic doctrine of error.

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Pravovedenie;Volume 67; Issue 1

value: contract

value: error

value: material error

value: misrepresentation

value: mixed jurisdictions


dc.contributor.author

value: Puder, Markus G.

dc.identifier.citation

value: Puder, Markus G. 2023. The Western crescent rises — a verticality dimension in Louisiana’s mixed legal space. Pravovedenie 67 (1): 5–20. https://doi.org/10.21638/spbu25.2023.101

dc.description.abstract

value:
The legal literature discussing mixed jurisdictions has mainly focused on horizontal law mixtures,
especially those involving the Civil Law and the Common Law. Harnessing the legal questions
raised by land loss in Louisiana’s landscape of waterbodies as a case study, this Article
illustrates how American federal law, whether constitutional, statutory or judge-made, has interacted
with the allocation of property rights under Louisiana state law. Among the various
stakeholders, the legal implications of erosion and subsidence play out in two relationships:
firstly, the relationship between private property owners and the State of Louisiana with regard
to lakeshore, banks of rivers, bays and streams, and seashore; and secondly, the relationship
between the State of Louisiana and the Federal Government with regard to their rights in the territorial
sea. In the first relationship, the equal footing doctrine enunciated by the U. S. Supreme
Court declares that, because the original thirteen states in the American Union owned the land
under their natural navigable water bodies, subsequent entrants would likewise take ownership
of such land. Based on the federal equal footing doctrine, Louisiana state law has enjoyed a
margin of maneuver to make its own dispositions for the lakeshore, the bank of a river, bayou
or stream, and the seashore. Also, when allocating ownership under state law, Louisiana courts
have traditionally looked to the federal admiralty definition of navigability. The federal-state interface
dominating the second relationship has come to be known as the “tidelands controversy”
over submerged lands, along with the wealth of resources, seaward of the low-water mark
on Louisiana’s coast. This led to a dance between the U. S. Supreme Court, the U. S. Congress
and the State of Louisiana. Although Louisiana ultimately secured jurisdiction up to three nautical
miles, its maritime belt still does not match Texas and Florida’s boundaries.

dc.language.iso

value: en

value: federal law

value: state law

value: lakes

value: rivers

value: seashore

value: territorial sea

value: erosion

value: subsidence

value: Tidelands Controversy

dc.type

value: Article


title: Guest editor’s note

dc.contributor.author

value: Thomas, Philip J.

dc.identifier.citation

value: Thomas, Philip J., Puder, Markus G. 2023. Guest editor’s note. Pravovedenie 67 (1): 3–4.

dc.description.abstract

value: Guest editor’s note

dc.language.iso

value: ru

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Pravovedenie;Volume 67; Issue 1


title: Trusts in mixed jurisdictions

dc.contributor.author

value: Lupoi, Maurizio

dc.identifier.citation

value: Lupoi, Maurizio. 2023. Trusts in mixed jurisdictions. Pravovedenie 67 (1): 21–55. https://doi.org/10.21638/spbu25.2023.102

dc.description.abstract

value:
Closed legal systems are gone in modern world, “mixed” legal systems have become the norm.
That has made so-called “transplants” easier but, contrary to a widely held view, legal institutions
cannot be transplanted. English trust rules even less, for they are not a coherent set of
rules. The British attempted to legislate on trusts for their colonies, for instance for Ceylon (the
present-day Sri Lanka), and were thus obliged to be coherent. That made it necessary to introduce
new legal concepts with unforeseeable consequences. A wave of legislation followed the
adoption of the convention “On The Law Applicable To Trusts And On Their Recognition” by the
15th session of the Hague Conference on private international law (1985); it gave birth to the “international
model” of trusts that quickly became the favourite setting of the rich and ultra-rich.
Jersey in the Channel Islands was the leading jurisdiction, many others followed but it was not
until the establishment of the International Finance Centres in the Gulf and later in Kazakhstan
where “the laws of England and Wales” are taken as a source of law and local courts are staffed
by former English judges or in any event by lawyers brought up in the common law that a proper
transplant of the English trust took place. A totally different legal setting witnessed attempts to
create imitations that had to run against well-established civil law conceptual attitudes that did
not allow the existence of more than one patrimony per person or the segregation of assets
within one person’s patrimony. In 2022 France decreed that each businessman is automatically
the owner of two patrimonies; that open the way to a radical re-thinking of civil law notions.
Québec and Louisiana are taken as examples of civil law legislation on trusts but Québec
has followed its own idea that the assets that form the object of a fiducie belong to nobody,
while Louisiana’s Trust Code is a deft admixture of civil law and common law elements based
on the civilian notion of “fiduciary”. Luxembourg, France and other civil law countries are then
examined: the focus then is on South Africa and Scotland, two countries which have a common
past in a shared period of the European ius commune and a common present in being both orphaned
from a cultural lineage that provided answers to current matters by drawing on Roman
law. Now they both solve the problem of the patrimony by holding that a trustee has more than
one patrimony, his own and then one for each trust of which he is the trustee.

dc.language.iso

value: en

dc.subject

value: trusts

value: civil law

value: common law

value: mixed jurisdictions

value: financial centres

value: transplants

dc.title

value: Trusts in mixed jurisdictions


dc.contributor.author

value: Petrova, Daria S.

dc.identifier.citation

value: Petrova, Daria S. 2023. Frustration of purpose due to change of position: Experiences of the “mixed jurisdictions”. Pravovedenie 67 (1): 97–109. https://doi.org/10.21638/spbu25.2023.105 (In Russian)

dc.description.abstract

value:
The article analyses the problem of change of position and frustration of purpose in “mixed
jurisdictions”. Frustration of contractual purpose is the doctrine that is known in English law
and derives from the so called “coronation cases”. At the same time frustration of contractual
purpose is a particular case of subsequent change of external situation. The author systematically
considers the issue in the civil law of Louisiana and Quebec. Louisiana and Quebec are
“mixed jurisdictions” that harmoniously combine elements of civil law and common law. But
today mentioned legal systems solve problems of change of position and frustration of purpose
with the help of traditional institutions of civil law: impossibility, force majeure and the doctrine
of cause. In practice it leads to that the issue of the influence of change of circumstances and
frustration of contractual purpose on obligations becomes stubborn. The reason of it is the
objective unsuitability of mentioned doctrines to the issue. Therefore, we need to mention the
experience of Argentina. Argentina is not a “mixed jurisdiction” but its Civil and Commercial
Code reformed in 2015 harmoniously combine elements of civil law and common law with the
aim to solve practical problems. The Civil and Commercial Code of Argentina provides rules not
only about subsequent extraordinary change of position and its consequences but in the single
article regulate frustration of contractual purpose. Frustration of contractual purpose in Argentina
is closely connected with the doctrine of causa. Therefore in the framework of the doctrine
of frustration of contractual purpose both the typical purpose of contract of certain kind (i. e. cause in civil law) and the motive that is unique for each contract have legal sense. Recognizing
in the Civil and Commercial Code of Argentina the legal sense of party’s motive for
entering into contract Argentina in fact departs from the canons of continental law that doesn’t
recognize the legal sense of such motives.

dc.subject

value: contract

value: contractual obligations

value: change of position

value: frustration of purpose

value: force majeure

value: impossibility

value: termination of a contract

dc.type

value: Article


dc.contributor.author

value: Chitov, Alexandre

dc.identifier.citation

value: Chitov, Alexandre. 2023. The traditional Scottish criminal law model from the Far-Eastern perspective. Pravovedenie 67 (1): 56–73. https://doi.org/10.21638/spbu25.2023.103

dc.description.abstract

value:
The traditional Scottish criminal law model was a bold attempt to build the system of criminal
law on the Christian foundations combined with the universal principles of reason that go beyond
the narrow national, cultural, and religious traditions of a particular country. Scottish criminal
law grew out of the Enlightenment which attempted to establish criminal law on common
sense, to make it intelligible and useful. The spirit of the Scottish legal philosophy is egalitarian.
The knowledge of law must be accessible to everyone. These ideas challenge the practices of
many countries in the East where law is perceived as a complex set of rules known only to a narrow
circle of experts, whereas people have little role to play but obey those rules, often without
understanding them or even knowing them. The Scottish ideas of criminal law can serve as a
platform for a critical examination of the criminal law in such diverse countries like Thailand and
China. The attractive feature of the Scottish Enlightenment for those countries is its pragmatism.
At the same time, it resists the excessiveness of the governmental control by the means of
criminal law that can threaten the wellbeing of people. The idea of crime as a moral vice that offends
public sentiment effectively limits the oppressive expansion of criminal law in the Far East.

dc.language.iso

value: en

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Pravovedenie;Volume 67; Issue 1

dc.subject

value: criminal law

value: Scottish Enlightenment

value: communicative theory

value: Thailand

value: China


dc.contributor.author

value: Gishlarkaev, Vakha I.

dc.identifier.citation

value: Gishlarkaev V. I. Fourier transform method for partial differential equations. Part 2. Existence and uniqueness of solutions to the Cauchy problem for linear equations. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 21–35. https://doi.org/10.21638/spbu01.2023.103 (In Russian)

dc.description.abstract

value: The article proposes a method for analyzing the Cauchy problem for a wide class of evolutionary linear partial differential equations with variable coefficients. By applying the (inverse) Fourier transform, the original equation is reduced to an integro-differential equation, which can be considered as an ordinary differential equation in the corresponding Banach space. The selection of this space is carried out in such a way that the principle of contraction mappings can be used. To carry out the corresponding estimates for the operators generated by the transformed equation, we impose the conditions of finiteness in the space variable for the inverse Fourier transform of the coefficients, and the spaces of the coefficients of the original equation are determined from the Paley-Wiener Fourier transform theorems. In this case, the apparatus of the theory of the Bochner integral in pseudo-normed spaces, countably-normed spaces and Sobolev spaces is used. Classes of functions are distinguished in which the existence and uniqueness of solutions are proved. For equations with coefficients with separated variables, exact solutions are obtained in the form of a Fourier transform of finite sums for operator exponentials.

dc.language.iso

value: ru

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 1

dc.subject

value: Fourier transform

value: distributions with compact support

value: convolution

value: integrodifferential equations

value: Paley-Wiener theorem

value: operator exponential


dc.contributor.author

value: Alekseev, Anton O.

value: Amosov, Grigori G.

dc.identifier.citation

value: Alekseev A.O., Amosov G.G. On extension of the family of projections to positive operator-valued measure. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 3–13. https://doi.org/10.21638/spbu01.2023.101 (In Russian)

dc.description.abstract

value: The problem of constructing a measure on a discrete set X taking values in a positive cone of bounded operators in a Hilbert space is considered. It is assumed that a projectionvalued function defined on a subset of X0 of the original set X is initially given. The aim of the study is to find such a scalar measure μ on the set X and the continuation of a projector-valued function from X0 to X, which results in an operator-valued measure having a projector-valued density relative to μ. In general, the problem is solved for |X| = 4 and |X0| = 2. As an example, we consider a function on X0 that takes values in a set of projections on coherent states. For this case, the question of the information completeness of the measurement determined by the constructed measure is investigated. In other words, is it possible to reconstruct a quantum state (a positive unit trace operator) from the values of the matrix trace from the product of a measure with a quantum state. It is shown that for the constructed measure it is possible to restore the quantum state only if it is a projection. A restriction on the probability distribution is also found, at which it can be obtained as a result of measuring a certain quantum state.

dc.description.sponsorship

value:
This work was supported by the Russian Science Foundation grant no. 19-11-00086,
https://rscf.ru/en/project/19-11-00086/.

dc.publisher

value: St Petersburg State University

dc.subject

value: operator-valued measure

value: coherent states

value: informational completeness

dc.title

value: Article


dc.contributor.author

value: Smirnov, Aleksey S.

value: Smolnikov, Boris A.

dc.identifier.citation

value: Smirnov А. S., Smolnikov B.A. Optimization of oscillation damping modes of spatial double pendulum. II. Solving the problem and analyzing the results. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 121– 138. https://doi.org/10.21638/spbu01.2023.111 (In Russian)

dc.description.abstract

value: This paper is a continuation of the article «Optimization of oscillation damping modes of spatial double pendulum. I. Formulation of the problem», in which the problem formulation of the optimal oscillations damping of double pendulum with joint axes not collinear to each other was given. Passive damping (viscous friction) is considered separately, and the possibility of additional accounting of active impacts (collinear control) is also discussed. Two optimization criteria are adopted that characterize the efficiency of the damping processes of system movements: first, the degree of stability is maximized, and then the integral energy-time criterion is minimized. The optimal values of the parameters of the considered damping options are determined according to both criteria in the course of the exact solution of the problem within the framework of a linear model. The obtained results are presented in the form of visual graphic illustrations which allow to establish their main qualitative and quantitative features. The conclusions can be useful in studying the movements of manipulators and various robotic structures.

dc.language.iso

value: ru

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 1

dc.subject

value: spatial double pendulum

value: viscous friction

value: collinear control

value: optimization criterion

value: degree of stability

value: energy-time criterion


dc.contributor.author

value: Lebedeva, Anastasia V.

value: Ryabov, Victor M.

dc.identifier.citation

value: Lebedeva A. V., Ryabov V.M. On the properties of some inversion methods of the Laplace transform. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 36–46. https://doi.org/10.21638/spbu01.2023.104 (In Russian)

dc.description.abstract

value: The problem of inversion of the integral Laplace transform, which belongs to the class of ill-posed problems, is considered. Integral equations are reduced to ill-conditioned systems of linear algebraic equations, in which the unknowns are either the coefficients of the series expansion in terms of special functions, or the approximate values of the desired original at a number of points. Described method of inversion using special quadrature formulas of the highest degree of accuracy and the characteristics of the accuracy and stability of this method are indicated. Quadrature inversion formulas are constructed, which are adapted for the inversion of long-term and slow processes of linear viscoelasticity. A method of deformation of the integration contour in the Riemann-Mellin inversion formula is proposed, which leads the problem to the calculation of certain integrals and allows obtaining error estimates. A method is described for determining the possible breakpoints of the original and calculating the magnitude of the jump at these points.

dc.description.sponsorship

value:
This paper was prepared with the support by a grant from StPetersburg State University “Event 3”
(Pure ID 75207094).

dc.publisher

value: St Petersburg State University

value: Laplace transform

value: Laplace transform inversion

value: system of linear algebraic equations

value: integral equations of the first kind

value: quadrature formulas

value: ill-posed problems

value: ill-conditioned problems

value: regularization method


title: Impact of a rigid sphere on an infinite viscoelastic Kirchhoff-Love plate considering volume and shear relaxations

dc.contributor.author

value: Shitikova, Marina V.

dc.identifier.citation

value: Shitikova M. V. Impact of a rigid sphere on an infinite viscoelastic Kirchhoff— Love plate considering volume and shear relaxations. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 139–154. https://doi.org/10.21638/spbu01.2023.112 (In Russian)

dc.description.abstract

value: The problem of a low-velocity normal impact of a rigid sphere upon an infinite viscoelastic Kirhhoff-Love plate is considered. The dynamic behaviour of the viscoelastic plate is described by the fractional derivative standard linear solid model. The fractional parameter defining the order of the fractional derivative governs the variation in the viscosity of plate’s material within the contact domain during the impact process. The local bearing of the plate material under sphere’s indentation, as well as the contact force are defined via the generalized Hertzian contact theory. Using the algebra of Rabotnov’s fractional-order operators and taking the volume and shear relaxations into account, the integral equation for the local bearing of the contacting bodies has been obtained. Its approximate solution allows one to find the time dependence of the local indentation and the contact force.

dc.description.sponsorship

value:
The work is supported by Ministry of Science and High Education of the Russian Federation
(project no.FZGM-2020-0007).

dc.language.iso

value: ru

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 1

value: low-velocity impact

value: viscoelastic Kirhhoff-Love plate

value: algebra of Rabotnov’s fractional operators

dc.type

value: Article


dc.contributor.author

value: Nekrutkin, Vladimir V.

dc.identifier.citation

value: Nekrutkin V.V. Remark on the precision of recurrent forecast in singular spectrum analysis. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 47–60. https://doi.org/10.21638/spbu01.2023.105 (In Russian)

dc.description.abstract

value: Within the family of methods named as Singular Spectrum Analysis there exist several variants of forecasting algorithms for signals corrupted by additive noise. In this paper the way to estimate the asymptotical accuracy of the recurrent variant of such a forecast for long series is shown and illustrated. It occurs that almost all elements of this construction are already studied and published, though some of them are hard to be implemented in concrete situations. Here all these elements are brought together, expanded and discussed. Several theoretical and computational examples are presented.

dc.description.sponsorship

value: This work was supported by the Russian Foundation for Basic Research (project no. 20-01-00067).

dc.publisher

value: St Petersburg State University

dc.subject

value: signal processing

value: singular spectrum analysis

value: recurrent forecasting

value: asymptotical analysis


dc.contributor.author

value: Filippov, Sergei B.

value: Smirnov, Andrei L.

value: Nesterchuk, Grigory A.

dc.identifier.citation

value: Filippov S.B., Smirnov A. L., Nesterchuk G.A. Natural vibrations of a cylindrical shell with the end cap. I. Asymptotic analysis. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 109–120. https://doi.org/10.21638/spbu01.2023.110 (In Russian)

dc.description.abstract

value: Low natural frequencies and vibration modes of the structure, consisting of a closed circular cylindrical shell with the end cap, having the shape of a shallow spherical segment, are examined in the paper using numerical and asymptotic methods. There are three types natural vibrations of the structure. Natural frequencies and vibration modes of the first type are close to the frequencies and vibration modes of a shallow spherical shell, modes and frequencies of the second type - to frequencies and modes of a cylindrical shell, and those of the third type - to frequencies and modes of vibration of a cantilever beam with a load at the end. In the first part of the research approximate values for the frequencies of vibrations of the first type are found by asymptotic methods. Asymptotic and numerical results obtained with finite element method are in good agreement.

dc.description.sponsorship

value:
The research was supported by Russian Science Foundation (project No. 23-21-00111),
https://rscf.ru/en/project/23-21-00111/

dc.subject

value: joint thin shells

value: free vibrations

value: asymptotic methods


dc.contributor.author

value: Eremeyev, Victor А.

dc.identifier.citation

value: Eremeyev V.А. On ellipticity of static equations of strain gradient elasticity and infinitesimal stability. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 99–108. https://doi.org/10.21638/spbu01.2023.109 (In Russian)

dc.description.abstract

value: Within the framework of strain gradient elasticity under finite deformations we formulate the strong ellipticity conditions of equilibrium equations. Within the model a strain energy density is a function of the first and second deformation gradients. Ellipticity involves certain constraints on the tangent elastic moduli. It is also closely related to infinitesimal stability which is defined as the positive definiteness of the second variation of the potential energy functional. Here we consider the first boundary-value problem, that is with Dirichlettype boundary conditions. For one-dimensional deformations we determine necessary and sufficient conditions of infinitesimal instability. The latter constitute two inequalities for elastic moduli.

dc.language.iso

value: ru

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 1

dc.subject

value: strain gradient elasticity

value: strong ellipticity

value: infinitesimal stability

dc.title

value: Article


title: Location of zeros of lacunary-type polynomials

dc.contributor.author

value: Wani, Irfan Ahmad

value: Mir, Mohammad Ibrahim

value: Nazir, Ishfaq

dc.description.abstract

value: Although recently proved generalization of Eneström-Kakey theorem by N.A.Rather et al. are applicable to the larger class of polynomials as compared to all other Eneström- Kakeya type results, but are not applicable to the polynomials whose one or two coefficients are zero. For instance, if we consider the polynomial whose one or two coefficients are zero, then one can note that all Eneström-Kakey type results including the recent generalizations by N.A.Rather et al. are not applicable to this polynomial. So it is interesting to look for the results applicable to such class of polynomials. Motivated by this, here we establish the following results applicable to such class of polynomials called the lacunary-type polynomials. In this paper, by relaxing the hypothesis of well-known Eneström-Kakey theorem, we obtain a result which is applicable to the lacunary-type of polynomials and generalizes several well-known results concerning the location of zeros of polynomials. In addition to this, we show by examples that our results presents better information about the bounds of zeros of polynomials than some known results.

dc.publisher

value: St Petersburg State University

dc.subject

value: zeros of a polynomial

value: Lacunary-type polynomial

value: Eneström-Kakeya theorem


dc.contributor.author

value: Brigadnov, Igor A.

dc.identifier.citation

value: Brigadnov I.А. Discontinuous mappings and the limit load in boundary value problems of nonlinear elasticity. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 86–98. https://doi.org/10.21638/spbu01.2023.108 (In Russian)

dc.description.abstract

value: The article discusses a boundary value problem of nonlinear elasticity for mapping (deformation) in two weak formulations: in the form of a variational equilibrium equation and in the form of minimization of a multidimensional integral functional. Some questions of a mathematical correctness of the nonlinear elasticity BVP are discussed. Using methods of calculus of variations, by the example of two simple problems, it is proved that for some nonlinear elastic models in the corresponding boundary value problems there can be mappings that have discontinuities of the slip type, as well as there is the limit load - such a finite value of external forces, above which the boundary value problem has no solution at all.

value: nonlinear elasticity

value: variational formulations

value: discontinuous mappings

value: limit load


dc.contributor.author

value: Nikonova, Ekaterina A.

dc.identifier.citation

value: Nikonova E.А. Isosceles tetrahedron and an equimomental system of a rigid body. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 155–164. https://doi.org/10.21638/spbu01.2023.113 (In Russian)

dc.description.abstract

value: The problem of equimomental systems of a rigid body is considered. It is shown that the system of four equal masses located at the vertices of an isosceles tetrahedron is equimomental to a given rigid body. A system of material points of equal masses located at the vertices of an isosceles tetrahedron, which is equimomental of cometary nuclei of 67P Churyumov-Gerasimenko, has been constructed.

dc.language.iso

value: ru

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10 (68); Issue 1

value: moments of inertia of a rigid body

value: equimomental systems of rigid bodies

value: isosceles tetrahedron

value: comet 67P Churyumov-Gerasimenko


dc.contributor.author

value: Titov, Vladimir B.

dc.identifier.citation

value: Titov V.B. Zero velocity surface in the general three-body-problem. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 165–175. https://doi.org/10.21638/spbu01.2023.114 (In Russian)

dc.description.abstract

value:
The zero-velocity surfaces of the general planar three-body problem are constructed in the
form space, the factor-space of the configuration space by transfer and rotation. Such a
space is the space of congruent triangles, and the sphere in this space is similar triangles.
The integral of energy in the form space gives the equation of the zero velocity surface. These
surfaces can also be obtained based on the Sundman inequality. Such surfaces separate areas
of possible movement from areas where movement is impossible. Without loss of generality,
we can assume that the constant energy is −1/2 and the sought for surfaces depend only
on the magnitude of the angular momentum of the problem, J. Depending on this value,
five topologically different types of surfaces can be distinguished. For small J, the surface
consists of two separate surfaces, internal and external ones, the motion is possible only
between them. With J increasing the inner surface increases, the outer surface decreases,
the surfaces first have a common point at some value of J, with a further increasing of J,
their topological type changes and finally the zero-velocity surface splits into three disjoint
surfaces, the motion is possible only inside them. Examples of the corresponding surfaces
are given for each of these types, their sections in the plane xy and in the plane xz and the
surfaces themselves are constructed, their properties are studied.

dc.publisher

value: St Petersburg State University

value: general three-body-problem

value: zero velocity surface

value: region of feasibility

dc.type

value: Article


dc.identifier.citation

value: On anniversary of Sergey Yuryevich Pilyugin. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 176–177. (In Russian)


dc.identifier.citation

value: In memoriam of Igor Karlovich Daugavet (1932-2022). . Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, pp. 180–181. (In Russian)


dc.identifier.citation

value: On anniversary of Viktor Georgievich Osmolovskii. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, p. 178. (In Russian)


dc.identifier.citation

value: In memoriam of Leonid Leonidovich Sokolov (1952-2022). Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 1, p. 179. (In Russian)

dc.language.iso

value: ru


title: Полнота и компактность в  нормированных пространствах

dc.contributor.author

value: Баранов, Антон Дмитриевич

value: Виденский, Илья Викторович

value: Гладкая, Анна Владимировна

dc.description.abstract

value: Данное пособие предназначено для студентов, изучающих функциональный анализ.  Основная цель пособия - научить студентов оперировать понятиями полнота и компактность в метрическом и нормированном пространствах, сложными как в теоретическом, так и в практическом плане. Другая цель пособия состоит в том, чтобы обобщить опыт преподавателей математико-механического факультета СПбГУ и выделить ряд типовых заданий и задач повышенной трудности, традиционно рассматриваемых на практических занятиях по функциональному анализу в СПбГУ. Пособие содержит: формулировки необходимых теоретических сведений, связанных с понятиями полноты и компактности в метрическом и нормированном пространствах, задачи с подробными решениями, а также задачи для самостоятельной работы. Пособие предназначено главным образом в качестве материала для практических занятий, но может быть использовано и при подготовке к экзамену по дисциплине «Функциональный анализ».

dc.publisher

value: СПбГУ

dc.subject

value: Функциональный анализ

dc.type

value: Other

filename: БВГ ФА Полнота и Компактность.pdf

description: Методические указания для проведения практических занятий по функциональному анализу


title: Линейные функционалы и  линейные операторы. Начальные главы

dc.contributor.author

value: Баранов, Антон Дмитриевич

value: Виденский, Илья Викторович

value: Гладкая, Анна Владимировна

dc.description.abstract

value: Данное пособие предназначено для студентов, изучающих функциональный анализ.  Основная цель пособия - научить студентов исследовать сходимость последовательностей линейных функционалов и линейных операторов в разных топологиях, применять на практике теорему Банаха-Штейнгауза, теорему Бэра, теорему о замкнутом графике. Другая цель пособия состоит в том, чтобы обобщить опыт преподавателей математико-механического факультета СПбГУ и выделить ряд типовых заданий и задач повышенной трудности, традиционно рассматриваемых на практических занятиях по функциональному анализу в СПбГУ. Пособие содержит: формулировки необходимых теоретических сведений, задачи с подробными решениями, а также задачи для самостоятельной работы. Пособие предназначено главным образом в качестве материала для практических занятий, но может быть использовано и при подготовке к экзамену по дисциплине «Функциональный анализ».

dc.subject

value: Функциональный анализ

dc.title

filename: БВГ ФА Линейные Функционалы.pdf


dc.contributor.author

value: Nogovitsin, Oleg N.

dc.identifier.citation

value: Nogovitsin O. N. Severus of Antioch’s idea of transforming the theological language from Triadology to Christology and its critique in Leontius of Byzantium’s treatise “Refutation of syllogisms of Severus”. Part two. Issues of Theology, 2023, vol. 5, no. 1, pp. 6–30. https://doi.org/10.21638/spbu28.2023.101 (In Russian)

dc.description.abstract

value:
The given study is the second part of the article, which scrutinizes the idea of
Severus of Antioch concerning which way, in the event of Christ’s incarnation, the
meanings of the concepts of essence, nature, hypostasis, and person, which are the
most important for representation of the theological sense of this event, are mystically
transformed. Along with that, the polemics between the Chalcedonites and Severian Monophysites deployed on this idea, which is immediately represented
in the third chapter of Leontius’ of Byzantium treatise “Refutation of syllogisms of
Severus”, is taken into consideration. By its content, this chapter is split into two
parts, each consisting of an argument of a Severian adversary of the Chalcedonite
confession and a detailed refutation of this argument proposed by Leontius. While
the content of the first half of the text is focused on the philosophical analysis of the
problem of methodological adequacy of the very formulation of Severus’ idea both
from the viewpoint of external philosophical wisdom and of theology, the second
half is dedicated to the problem of the grammatical and philosophical status of the
exegesis of ambiguous expressions of the Fathers. In this section of the study, a detailed
interpretation is proposed of the first part of the third chapter of Leontius’
treatise, and, on the grounds of addressing the models of philosophical and theological
argumentation authentic for the first half of the 6th century, an analysis is
performed of the logico-philosophical and theological sense of the polemical arguments
applied by the opponents.

dc.description.sponsorship

value:
The present research was funded by the Russian Foundation for Basic Research, project
no. 21-011-44263 “Formation of the concept of ‘theology’ as a science and its conceptual
apparatus in the Byzantine Christian theological thought of the late 5th — early 8th centuries in
the context of scientific and philosophical knowledge of late antiquity”.

dc.relation.ispartofseries

value: Issues of Theology;Volume 5; Issue 1

dc.subject

value: Severus of Antioch

value: Leontius of Byzantium

value: Neoplatonic school philosophy

value: Christology

value: Triadology

value: reciprocal argument

value: definition

value: natures and names


dc.contributor.author

value: Sagandykov, Mikhail S.

dc.identifier.citation

value: Sagandykov, Mikhail S. 2023. “State policy in the sphere of legal regulation of labor under conditions of digitalization of economy”. Vestnik of Saint Petersburg University. Law 1: 22–39. https://doi.org/10.21638/spbu14.2023.102 (In Russian)

dc.description.abstract

value:
Digitalization creates new challenges for public policy in the regulation of labor relations. The
purpose of the article is to identify the most complex problems associated with the introduction
of information and communication technologies in labor relations, and to outline ways
of their legislative solution. For this purpose the analysis of Russian and foreign scientific
literature, labor legislation, judicial practice, documents of the International Labor Organization,
including those adopted in 2020 in response to threats to labor relations caused by the
COVID-19 pandemic is used. The inefficient use of already available electronic resources for
the implementation of electronic case management is noted. The idea of the need to extend
modern technology not only to the electronic exchange of documents, but also to their creation,
storage, processing is supported. It is concluded that it is inexpedient to use an enhanced
electronic signature of an employee in labor relations, in connection with which it is proposed to use special digital platforms supported by the state. It is proposed to gradually get rid of the
practice of duplicating electronic and traditional “paper” records management. Relationships
formed in the process of application of distant labor contain all the classical features of the employment
relationship, which is facilitated by the employer’s use of modern means of control
over the behavior of the employee. Digital technologies create new opportunities for the use of
labor resources and make it possible to include new forms of employment in the scope of labor
legislation, where to a greater or lesser degree there is economic, organizational dependence
of the executor (employee) on the customer (employer), based on innovative means of control
and management, as well as the dependant’s need for traditional means of social protection.
Differentiation and decentralization of legal regulation is proposed to maintain the stability
of labor relations.

dc.language.iso

value: ru

dc.publisher

value: St Petersburg State University

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Law;Volume 14; Issue 1

value: digitalization of labor relations

value: government policy

value: electronic personnel records

value: atypical employment

value: atypical labor relations

value: distance labor

value: Internet platform

dc.type

value: Article


dc.contributor.author

value: Chernyavsky, Alexander L.

dc.identifier.citation

value: Chernyavsky A. L. Historical Jesus vs Chalcedonian definition: The problem of Christ’s ignorance. Issues of Theology, 2023, vol. 5, no. 1, pp. 87–104. https://doi.org/10.21638/spbu28.2023.106 (In Russian)

dc.description.abstract

value:
Some of the sayings of Jesus show that he did not possess omniscience. But this is
incompatible with the Chalcedonian definition according to which in Christ the divine and human natures are united in one person. Traditional theology has therefore
concluded that Christ’s ignorance was only apparent. However, the studies of
the historical Jesus proved that Christ as man did not really know the time of the
end of the world and his Second Coming. Moreover, he expected these events to
come in the very near future. The article shows that the arguments of scholars are so
conclusive that the incompatibility of the gospel testimonies with the Chalcedonian
definition can be considered a well-established fact. These results of New Testament
studies fundamentally change the situation in modern Christian theology: a
literal understanding of the Chalcedonian formula became now not only difficult,
but impossible. However, the Chalcedonian definition is only one possible way to
describe the unity of the divine and the human in Christ. Alternative ways are not
only theoretically possible, but have already been proposed and actually exist in
Christian theology. The final section of the article briefly describes three such ways
proposed by Karl Barth, Albert Schweitzer, and Paul Tillich.

dc.relation.ispartofseries

value: Issues of Theology;Volume 5; Issue 1

dc.subject

value: christology

value: Chalcedonian definition

value: Christ’s ignorance

value: historical Jesus

value: eschatological catastrophe

value: New Testament studies

value: dissimilarity test


dc.contributor.author

value: Davydenkov, Oleg V. (archpriest)

dc.identifier.citation

value: Davydenkov O. V. Suleiman of Gazza on the Ecumenical Councils. Issues of Theology, 2023, vol. 5, no. 1, pp. 31–44. https://doi.org/10.21638/spbu28.2023.102 (In Russian)

dc.description.abstract

value:
The article discusses the ideas about the history and deeds of the Ecumenical Councils
of the Melkite writer of the 10th–11th centuries Suleiman, Bishop of Gaza, the
first Arabic-speaking Christian poet and author of a number of theological and
philosophical treatises. Although Suleiman was not a historian, he nonetheless
wrote two noteworthy texts on the history of the Ecumenical Councils. According
to a number of formal criteria, these texts may well be attributed to “the synopsis
of the Councils” genre, which was very popular in Byzantium and was widely used
in Byzantine doctrinal and catechetical literature. At the same time, this genre was
not in demand in Melkite literature, and the Bishop of Gaza was actually the only
Arabic-speaking Melkite writer who created works in “the synopsis of the Councils”
genre, which was widely used in Byzantine doctrinal and catechetical literature. The
author notes that, unlike most Melkite writers of the 8th–13th centuries (St John of
Damascus, Theodore Abu Qurrah, Agapius of Manbij, Macarius of Sinai), who had quite adequate ideas about the history of the Ecumenical Councils and their deeds,
Suleiman in his treatises makes many mistakes, both purely historical and concerning
the theological essence of some heresies condemned by the Councils. The article
attempts to establish the reasons for the mistakes made by Suleiman of Gazza and
find logical explanations for some of them. The author comes to the conclusion that
Suleiman’s knowledge of Church history cannot be considered satisfactory. Because
of this, it is absolutely impossible to call the Bishop of Gazza a writer who knew the
history of the Church well, as some researchers do.

dc.language.iso

value: ru

dc.publisher

value: St Petersburg State University

dc.subject

value: Christian Arabs

value: Melkites

value: Synopsis of Councils

value: Arab Christian literature

value: doctrinal literature

value: Ecumenical Councils


dc.contributor.author

value: Panchenko, Sergey V.

value: Kretov, Andrej V. (priest)

dc.identifier.citation

value: Panchenko S. V., Kretov A. V. Liturgical argument in defense of Orthodoxy in the polemical collection of the Library of the Russian Academy of Sciences 16.3.13. Issues of Theology, 2023, vol. 5, no. 1, pp. 45–57. https://doi.org/10.21638/spbu28.2023.103 (In Russian)

dc.description.abstract

value:
In a poorly covered polemical collection of the 17th century of the Library of the
Academy of Sciences 16.3.13 there is a controversy between supporters of the Orthodox
and Latin teachings about the Eucharist. The writings of the brothers Likhudov
and monk Euthymius are placed along with the heretical writings of Sylvester
Medvedev and the banned deacon Athanasius. In this article, we will pay attention
to the “liturgical” direction in the argument, when the parties participating in the
controversy find confirmation of their position in the order of the Divine Liturgy.
This is done by referring to the authority of the liturgies of the Eastern Orthodox
Church: Saints John and Basil, the Apostles Mark and James, brother of God, as well
as the study of the “Latin” liturgy of the Apostle Peter. The complexity of describing
the liturgical argument lies in its arbitrary arrangement on the pages of the collection.
The purpose of this work is to consider the liturgical argument in defense of
the Orthodox teaching on the time of the transubstantiation of the Gifts in the littlecovered
polemical collection of the Library of the Academy of Sciences 16.3.13. The
content of the manuscript will be considered in the context of the polemic with the
“bread-worshipping” heresy, after which the method of liturgical polemic based on
the rites of the liturgies will be examined. In conclusion, preliminary conclusions
are made about the meaning of the liturgical argument.

dc.relation.ispartofseries

value: Issues of Theology;Volume 5; Issue 1

dc.subject

value: Liturgy of the Apostle James

value: Liturgy of the Apostle Peter

value: polemics

value: polemical collections

value: Latinism

value: Eastern Orthodoxy

value: the doctrine of the Eucharist

dc.title

value: Article


title: Editorial

dc.identifier.citation

value: Editorial. Issues of Theology, 2023, vol. 5, no. 1, pp. 4–5.

dc.description.abstract

value: Editorial

dc.language.iso

value: ru

dc.publisher

value: St Petersburg State University


dc.contributor.author

value: Dommarco, Maria Chiara

dc.identifier.citation

value: Dommarco M. C. The relations between Church and state in Czechoslovakia in 1947–1949: New archival documents. Issues of Theology, 2023, vol. 5, no. 1, pp. 105–132. https://doi.org/10.21638/spbu28.2023.107 (In Russian)

dc.description.abstract

value:
Thanks to the opening of the Vatican archives concerning the pontificate of Pius XII,
it is possible to shed light on how between 1947 and 1949 the Secretariat of State of
the Holy See faced with the crisis between the Communist government of Czechoslovakia
and the Catholic Church. In the context of secularisation after the Second
World War, the Catholic Church in Czechoslovakia faced a wave of anti-religious
persecution by members of the Communist Party of Czechoslovakia, which gradually
gained prestige in society from 1946 up to the events of February 1948 (the
so-called “Victorious February”) when the Communists assumed leading positions
in the political system of the country. This study, based on archival data, provides
an insight into the following aspects of these critical years: a deeper understanding
of the chronological links of events; the reasons and aims of the modi operandi of
the Vatican and the local episcopate; the bilateral relations between the Secretariat
of State of the Holy See and the bishops of Czechoslovakia and their interaction
in opposing the anti-church policies of the state; the reasons why the number of
adherence to the so-called “Catholic Action” movement was much lower than that
expected of the Communist Party in Czechoslovakia; Pius XII’s closeness to the
Catholic clergy and believers in Czechoslovakia.

dc.description.sponsorship

value:
The article was prepared within the project “Occidentes. Horizons and Projects of Civilization
in the Church of Pius XII”, organized by Universita Cattolica del Sacro Cuore, Pontificia
Universita Gregoriana, Universidad de Navarra and Universidade Catolica Portuguesa.

dc.subject

value: Church

value: state

value: Holy See

value: Pius XII

value: Czechoslovakia

value: Communist party of Czechoslovakia

value: Josef Beran

value: religious persecutions


dc.contributor.author

value: Arkhipov, Vladislav V.

value: Vasiliev, Anton A.

value: Andreev, Nikolai Yu.

value: Pechatnova, Yulia V.

dc.identifier.citation

value: Arkhipov, Vladislav V., Anton A. Vasiliev, Nikolai Yu. Andreev, Yulia V. Pechatnova. 2023. “Computer games in legal research: On the prerequisites of the regulation model”. Vestnik of Saint Petersburg University. Law 1: 5–21. https://doi.org/10.21638/spbu14.2023.101 (In Russian)

dc.description.abstract

value:
Games in general and computer games in particular have long been a subject of research in
legal research starting from the focus on the analogy between law and games (known inter
alia from the works by A. Ross). However, by the beginning of the 21st century computer
games and, above all, multiplayer computer games (virtual worlds) became an independent
subject of legal research, both because of the interest in private legal problems and based on
the methodological premise in the spirit of L. Lessig, according to which the study of the legal
dimension of multiplayer game worlds, just as it was earlier with the Internet, can provide new knowledge about the law in general. Computer games are a commercially successful type of
media, reflecting the acute problems of “digital law” and one of the significant theoretical and
legal problems of determining the reasonable limits of law intervention in “non-serious” or
“virtual” relationships. To understand the peculiarities of computer games, including for the
purposes of legal research and improvement of the model of legal regulation, a broad interdisciplinary
view that takes into account the approaches developed in media studies (M. McLuhan,
L. Manovich et al.) and in studies of games as such (J. Huizinga and R. Caillois et al.).
As a result, computer games can be considered as a kind of new media the qualities of which
are reflected in their main legal qualifications — as the results of intellectual activity, information,
means of communication and, actually, games. These qualities can be considered as basic
for the development of the model of regulation of computer games and the game industry,
taking into account the balance of interests of developers, publishers and the game community,
as well as taking into account national interests.

dc.description.sponsorship

value:
This article was prepared with financial support from the Russian Science Foundation (RNF), project
no. 22-28-00433 “The Computer Games Industry: In Search of a Legal Model”.

dc.relation.ispartofseries

value: Vestnik of St Petersburg University. Law;Volume 14; Issue 1

dc.subject

value: computer games

value: videogames

value: mediaphilosophy

value: legal regulation

value: intellectual property

value: digital law

value: virtual worlds

value: metaverses

dc.type

value: Article