Contents

Vestnik St. Petersburg University, Mathematics


Vol. 56, No. 4, 2023


On the Anniversary of Alexander Konstantinovich Belyaev

p. 413  abstract

On the Anniversary of Alexander Konstantinovich Belyaev

On Contact Problems with a Deformable Punch and Variable Rheology

V. A. Babeshko, O. V. Evdokimova, O. M. Babeshko, M. V. Zaretskaya and V. S. Evdokimov p. 416  abstract

Rayleigh Waves in an Electroelastic Medium with Prestressed Inhomogeneous Coating

T. I. Belyankova and V. V. Kalinchuk p. 424  abstract

Natural Vibrations of Composite Cylindrical Shells Partially Filled with Fluid

S. A. Bochkarev, S. V. Lekomtsev and V. P. Matveenko p. 435  abstract

On Thermo-Optically Excited Parametric Oscillations of Microbeam Resonators. II

N. F. Morozov, D. A. Indeitsev, A. V. Lukin, I. A. Popov and L. V. Shtukin p. 446  abstract

Modeling of Imperfect Contacts in Determining the Effective Diffusion Permeability

K. P. Frolova, E. N. Vilchevskaya and V. A. Polyanskiy p. 459  abstract


To the 300th Anniversary of SPbU

Modeling Problems of Dynamics and Development of Scientific Areas of Mechanics and Applied Mathematics

G. V. Alferov, V. S. Korolev, E. N. Polyakhova and K. V. Kholshevnikov p. 470  abstract

Review of Works by V. A. Yakubovich’s Scientific School on Artificial Intelligence and Robotics

A. S. Matveev, A. L. Fradkov and A. I. Shepeljavyi p. 478  abstract

Models of Solid Mechanics in the Problems of Ophthalmology

S. M. Bauer, L. A. Venatovskaya and E. B. Voronkova p. 493  abstract


Mathematics

Construction of Fundamental Solution for an Odd-Order Equation

B. Yu. Irgashev p. 512  abstract

Kindred Diagrams

V. M. Nezhinskij p. 521  abstract

Asymptotical Separation of Harmonics by Singular Spectrum Analysis

V. V. Nekrutkin p. 526  abstract

Generation of Records Obtained from Sequences of Independent and Non-Identically Distributed Variables

S. A. Petukhov and A. V. Stepanov p. 540  abstract

Conditions for Local Parameter Identifiability for Systems of Differential Equations with an Infinite-Dimensional Parameter

S. Yu. Pilyugin and V. S. Shalgin p. 549  abstract

On the Asymptotic Behavior of Probabilities of Moderate Deviations for Combinatorial Sums

A. N. Frolov p. 559  abstract

Metric Invariants of Second-Order Surfaces

D. Yu. Volkov and K. V. Galunova p. 569  abstract


Mechanics

Specific Features of the Dynamics of the Rectilinear Motion of the Darboux Mechanism

S. N. Burian p. 577  abstract

Calculation of Stresses Initiated by an Electrical Explosion of Conductors in a Composite Thick-Walled Cylinder

V. M. Kats, V. A. Morozov and Ya. A. Sevastyanov p. 586  abstract

The Transgression Effect in the Problem of Motion of an Almost Holonomic Pendulum

A. S. Kuleshov and I. I. Ulyatovskaya p. 594  abstract

Application of Hybrid Riemann Solvers Based on HLLC and HLL for Simulation of Flows with Gas-Dynamic Discontinuities

G. V. Shoev p. 598  abstract