Contents

Vestnik St. Petersburg University, Mathematics


Vol. 53, No. 3, 2020


Mathematics

On the Density of Pre-Orbits under Linear Toral Endomorphisms

Saeed Azimi and Khosro Tajbakhsh p. 243  abstract

Two-Dimensional Homogeneous Cubic Systems: Classification and Normal Forms—VI

V. V. Basov and A. S. Chermnykh p. 248  abstract

Stable and Completely Unstable Periodic Points of Diffeomorphism of a Plane with a Heteroclinic Contour

E. V. Vasil’eva p. 261  abstract

Optimal Subspaces for Mean Square Approximation of Classes of Differentiable Functions on a Segment

O. L. Vinogradov and A. Yu. Ulitskaya p. 270  abstract

On the Strong Law of Large Numbers for Linear Combinations of Concomitants

O. I. Dudkina and N. V. Gribkova p. 282  abstract

Stochastic Mesh Method for Optimal Stopping Problems

Yu. N. Kashtanov and I. P. Fedyaev p. 287  abstract

Small Deviation Probabilities for Sums of Independent Positive Random Variables

L. V. Rozovsky p. 295  abstract

On Some Local Asymptotic Properties of Sequences with a Random Index

O. V. Rusakov, Yu. V. Yakubovich and B. A. Baev p. 308  abstract

Coupled Vibrations of Viscoelastic Three-Layer Composite Plates. 1. Formulation of the Problem

V. M. Ryabov, B. A. Yartsev and L. V. Parshina p. 320  abstract

Approximation by Entire Functions on a Countable Set of Continua

O. V. Silvanovich and N. A. Shirokov p. 329  abstract

On Combinatorial Strong Law of Large Numbers and Rank Statistics

A. N. Frolov p. 336  abstract


Mechanics

Numerical Simulations of Shock Waves in Viscous Carbon Dioxide Flows Using Finite Volume Method

I. Alekseev and E. Kustova p. 344  abstract

Free Vibration Frequencies of a Circular Thin Plate with Variable Parameters

G. P. Vasiliev and A. L. Smirnov p. 351  abstract

Optimization of CO2 Vibrational Kinetics Modeling in the Full State-to-State Approach

V. I. Gorikhovskii and E. A. Nagnibeda p. 358  abstract

The Effect of the Nonuniformity of the Earth’s Magnetic Field on Electrodynamic Space Tether System Dynamics

A. P. Deriglazov and A. A. Tikhonov p. 366  abstract