Contents

Vestnik St. Petersburg University, Mathematics

Vol. 58, No. 4, 2025

MATHEMATICS

Series of Successes in Bernoulli Sequences of Random Variables

S. M. Ananjevskii and V. B. Nevzorov p. 455  abstract

Polarization Identities

B. M. Bekker and O. B. Podkopaev p. 462  abstract

Bessel Functions and Sharp Bernstein-Type Inequalities

O. L. Vinogradov p. 469  abstract

Regularization of Some Methods of Inversion of the Integral Laplace Transform

A. V. Lebedeva and V. M. Ryabov p. 477  abstract

Maps of Type K4 on Closed Two-Dimensional Manifolds

Yu. V. Maslova and G. R. Zagorskaya p. 485  abstract

Analysis of a Finite-Nonstationary Fuzzy Automaton

A. Yu. Ponomareva, O. N. Ivantsova, and E. A. Bojko p. 494  abstract

On the Borel–Cantelli Lemma for Intermittent Interval Maps

A. N. Frolov p. 504  abstract

Integral Inequality for the Polar Derivative of a Polynomial with the Roots Separated from the Zero

Ranaranjan Thoudam, Mayanglambam Singhajit Singh, Nirmal Kumar Singha, and Barchand Chanam p. 511  abstract

On Finding Generalized Normal Forms of Systems with a Hamiltonian Unperturbed Part Using Belitskii’s Method

A. S. Vaganyan p. 519  abstract

Search of Weights in the Problem of Weighted Finite-Rank Time-Series Approximation

N. K. Zvonarev p. 523  abstract

MECHANICS

On the Mathematical Simulation of an Unsteady Hypersonic Flow Past Curved Two-Dimensional Bodies

V. I. Bogatko, Yu. N. Voroshilova, and E. A. Potekhina p. 533  abstract

On Modal Localization in a String on an Elastic Base

S. A. Vavilov, L. V. Shtukin, O. V. Privalova, D. S. Vavilov, and A. A. Kudryavtsev p. 540  abstract

Modeling the Propagation of a Plane Elastic-Plastic Wave Taking into Account Unloading Associated with Plastic Deformations

V. S. Ivanov, V. M. Kats, and V. A. Morozov p. 546  abstract

Analytical Study of the Orbital Motion of a Spacecraft with a Variable Electric Charge

M. A. Klyushin p. 554  abstract

Motion of a Lamina on a Blade under the Action of Special Type of Forces

A. S. Kuleshov and N. M. Vidov p. 567  abstract

Calculation of Unsteady Flows in High-Pressure Gas Pipelines during Depressurization

G. I. Kurbatova, V. A. Klemeshev, and A. R. Shafiev p. 577  abstract

Moment of Lorentz Forces Acting on an Artificial Earth Satellite with a Double Electric Layer

K. G. Petrov and A. A. Tikhonov p. 588  abstract

Attraction Basin in the Generalized Kapitsa Problem with a Finite or Countable Number of Internal Degrees of Freedom

T. P. Tovstik and A. K. Belyaev p. 594  abstract

Global Family of Periodic Motions of a Mechanical System with a Parameter

V. N. Tkhai p. 602  abstract

Elliptic Boundary Layer in Shells of Revolution under Normal Impact Surface Loading

I. V. Kirillova and L. Yu. Kossovich p. 607  abstract

Effect of the Variable Molecular Diameter on the Viscosity Coefficient in the State-Specific Approximation

O. V. Kornienko and E. V. Kustova p. 613  abstract

Limits of Applicability of the Treanor–Marrone Model for State-Specific Dissociation Rate Coefficients of N2 and O2

A. S. Savelev and E. V. Kustova p. 623  abstract

On the Problem of Flight Dynamics

Yu. Ya. Ostov and A. P. Ivanov p. 632  abstract

Comparative Analysis of the Initial State in Inhomogeneous Rods

A. O. Vatulyan and R. D. Nedin p. 637  abstract

Suppression of Oscillations of a Trolley with a Double Pendulum by Controlling Its Acceleration

S. A. Zegzhda, E. A. Shatrov, and M. P. Yushkov p. 645  abstract

On the Construction of the Stiffness Matrix of a Naturally Twisted Rod

N. V. Kurbatova, N. M. Romanova, and Yu. A. Ustinov p. 650  abstract

Effect of the Rotation Axis Position of a Cylinder on Its Rotational Oscillations in an Air Flow

A. N. Ryabinin and N. A. Kiselev p. 656  abstract

ASTRONOMY

Cosmology on a Principal Bundle with the Non-Abelian Lie group SU(2) with a Bi-Invariant Metric

V. R. Krym p. 663  abstract