Contents

Vestnik St. Petersburg University, Mathematics

Vol. 57, No. 4, 2024

TO THE 300th ANNIVERSARY OF SPbU

On the Role of St. Petersburg in the Development of Mathematical Analysis

A. D. Baranov, A. A. Lodkin, A. N. Podkorytov, and N. A. Shirokov p. 413  abstract

Rigid-Body Dynamics from the Euler Equations to the Attitude Control of Spacecraft in the Works of Scientists from St. Petersburg State University. Part 4

A. A. Tikhonov p. 430  abstract

MATHEMATICS

On Series of Successes in Bernoulli Sequences of Random Variables

S. M. Ananjevskii, and V. B. Nevzorov p. 456  abstract

Integral Equation with the Toeplitz–Hankel Kernel and an Inhomogeneity in the Linear Part

S. N. Askhabov p. 462  abstract

Normal Form and Stability of the Zero Solution to a Second-Order Periodic Reversible ODE with a Small Parameter

V. V. Basov, and Yu. N. Bibikov p. 472  abstract

On the Problem of Constructing a Manipulator Control during the Motion-Cueing Simulation of an Aircraft Flight

M. D. Belousova, I. A. Kudryashov, and S. S. Lemak p. 480  abstract

On the Existence and the Set of All Equilibrium States of a Two-Phase Thermoelastic Medium

E. A. Efimov p. 490  abstract

On Convergence of Higher Order Differential-Difference Schemes for Telegraph Equation

Le Minh Hieu, and Nguyen Huu Nguyen Xuan p. 499  abstract

Algorithm for Extracting the Common Properties of Objects Described in the Predicate Calculus Language with a Single Predicate Symbol

J. Zhou, and T. M. Kosovskaya p. 514  abstract

A Fixed Point Problem for a Hybrid Contraction and Ulam–Hyers–Rassias Stability Result with Respect to w-Distance

Binayak S. Choudhury, and Priyam Chakraborty p. 523  abstract

On the Distributions of Record Ranges in Nonstandard Situations

I. V. Belkov p. 532  abstract

On the Bohr Inequality for the Integrals of Functions from \({{L}^{p}}({{\mathbb{R}}^{n}})\) with 2 < p < +∞

B. F. Ivanov p. 538  abstract

Approximation of Curves by Broken Lines in Lp

A. A. Shabozova p. 548  abstract

On the Best Quadrature Formula of Markov Type for Classes of Functions Defined by Moduli of Continuity

M. Sh. Shabozov, and A. A. Shabozova p. 555  abstract

MECHANICS

Reaction Forces and Friction Forces in the Dynamics of Systems with Geometric Singularities

S. N. Burian p. 562  abstract

Fundamental Frequencies of Long Prismatic Shells

G. T. Dzebisashvili, A. L. Smirnov, and S. B. Filippov p. 575  abstract

Prediction of State-to-State Dissociation Rate Coefficients Using Machine-Learning Algorithms

Z. M. Maksudova, A. S. Savelev, and E. V. Kustova p. 584  abstract

Formulation of the Fatigue-Fracture Criterion for Composite Materials

A. R. Arutyunyan p. 593  abstract

Behavior of a Pendulum with a Singular Configuration Space

S. N. Burian p. 598  abstract

Rotational Oscillations of a Cylinder with a Stabilizer in a Gas Flow

N. A. Kiselev, and A. N. Ryabinin p. 608  abstract

Nonequilibrium Vibrational and Chemical Kinetics in Air Flows in Nozzles

E. A. Nagnibeda, and K. V. Papina p. 614  abstract

Integrals of Motion and Velocity of Sound in Local Equilibrium Flows of Ionized Monatomic Gases

M. S. Romanova, and M. A. Rydalevskaya p. 624  abstract

ASTRONOMY

Investigation of the Moon’s Rotation in the Relativistic Approximation

V. V. Pashkevich p. 632  abstract