Contents

Vestnik St. Petersburg University, Mathematics

Vol. 58, No. 2, 2025

ON THE 300TH ANNIVERSARY OF ST. PETERSBURG STATE UNIVERSITY

Mathematical Modeling of Nonequilibrium Processes at the Department of Physical Mechanics of St. Petersburg State University. Part 2. Modeling of Processes in Plasma

E. K. Kolesnikov, and A. B. Yakovlev p. 155  abstract

Astronomical Research at the Mathematics Faculty of St. Petersburg University, II

V. B. Il’in, S. S. Savchenko, D. A. Morozova, and E. V. Shishkina p. 171  abstract

MATHEMATICS

An Example of Complete Alternance in the Multidimensional Case

V. N. Malozemov, and A. V. Plotkin p. 188  abstract

Manakov System and Fuchsian Equations

A. O. Smirnov, and D. V. Sugak p. 198  abstract

On the Borel–Cantelli Lemma and Its Dynamical Forms for Interval Maps

A. N. Frolov p. 211  abstract

On Some Conditions for Rationally Infinite Divisibility of Discrete Distributions

A. A. Khartov, and I. S. Kharchenkov p. 220  abstract

D-Optimal Designs for a Multivariate Polynomial Model

P. V. Shpilev, and E. S. Kucha p. 232  abstract

A q-Generalization of Class \(\mathcal{R}\)

Sarika Verma, Raj Kumar, Janusz Sokół, and Sukhjit Singh p. 239  abstract

Some New Infinite Families of Congruences and Recurrence Relations for the Coefficients of a Third Order Mock Theta Function

Sabi Biswas, and Nipen Saikia p. 248  abstract

Application of Gauss–Lucas Theorem to the Inequalities for Polynomials

M. Y. Mir, and W. M. Shah p. 259  abstract

MECHANICS

On the Problem of Nonstationary Contact Problems

V. A. Babeshko, O. V. Evdokimova, V. S. Evdokimov, and O. M. Babeshko p. 265  abstract

Aggregation of Conservative Systems into a Chain with an Attracting Cycle

I. N. Barabanov, and V. N. Tkhai p. 271  abstract

Five Means of Approximation of Critical Values of the Damping Coefficient in the No-Current Model of a Synchronous Electric Motor

B. I. Konosevich, and Yu. B. Konosevich p. 277  abstract

Numerical Solution to Couette Problem for Monatomic Gas Flow in Slip Regime

M. M. Norkin, L. A. Shakurova, and E. V. Kustova p. 289  abstract

Damped Vibrations of Inhomogeneous Composite Box Beams

V. M. Ryabov, B. A. Yartsev, and L. V. Parshina p. 299  abstract

Stability of Floating Bodies with Movable Load

A. S. Smirnov, and D. V. Morozov p. 308  abstract