Contents

Vestnik St. Petersburg University, Mathematics

Vol. 57, No. 3, 2024

TO THE 300th ANNIVERSARY OF SPbU

Review of Research on the Qualitative Theory of Differential Equations at St. Petersburg University. II. Locally Qualitative Analysis of Essentially Nonlinear Systems

N. A. Begun, E. V. Vasilieva, T. E. Zvyagintseva, and Yu. A. Il’in p. 271  abstract

Mathematical Modeling of Nonequilibrium Processes at the Department of Physical Mechanics, St. Petersburg State University. Part 1. Modeling of Processes in Gases, Liquids, and Solids

V. A. Morozov, T. A. Khantuleva, and A. B. Yakovlev p. 283  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 3

A. A. Tikhonov p. 307  abstract

MATHEMATICS

On the Asymptotic Power of the “Energy” Test for the Equality of Two Distributions

V. B. Melas, and D. I. Salnikov p. 322  abstract

Disk-Band Graphs in the Theory of Framed Tangles

V. M. Nezhinskij, and M. V. Petrov p. 331  abstract

On the Robustness of Singular Spectrum Analysis for Long Time Series

V. V. Nekrutkin p. 335  abstract

Approximation by Double Periodic Functions in the Classes \(C_{A}^{{r*}}\)

K. A. Sintsova, and N. A. Shirokov p. 345  abstract

On Estimation of the Values of Jumps for Discrete Distribution Functions

A. N. Frolov p. 353  abstract

On the Zero Bounds of Quaternionic Polynomials with Restricted Coefficients

Adil Hussain, and Irfan Ahmad Wani p. 360  abstract

D-Optimal Designs for a Two-Dimensional Polynomial Model

P. V. Shpilev p. 368  abstract

MECHANICS

Transgression Effect in the Problem of the Rolling of a Ball in a Recess

A. S. Kuleshov, and N. M. Vidov p. 377  abstract

Asymptotic Model of the Long-Wavelength Vibrations of an Ultrathin Beam-Strip Taking into Account Surface Effects

G. I. Mikhasev, and N. D. Le p. 383  abstract

Methods for Modeling the Dissipative Characteristics of Layered Composites

V. M. Ryabov, and B. A. Yartsev p. 392  abstract

Dynamics of a Double Pendulum with Viscous Friction at the Hinges. II. Dissipative Vibration Modes and Optimization of the Damping Parameters

A. S. Smirnov, and I. A. Kravchinskiy p. 401  abstract