Contents

Vestnik St. Petersburg University, Mathematics

Vol. 58, No. 3, 2025

ON THE 300th ANNIVERSARY OF ST. PETERSBURG STATE UNIVERSITY

Models and Methods of Tropical Algebra in Problems of Optimization and Operations Research

N. K. Krivulin p. 317  abstract

Astronomical Research at the Mathematics Faculty of St. Petersburg University. III. Scientific Legacy of Professor K. V. Kholshevnikov

E. N. Polyakhova, A. A. Vasilyev, A. V. Veselova, D. V. Mikryukov, I. I. Nikiforov, and B. B. Eskin p. 337  abstract

Mathematical Modeling of Nonequilibrium Processes at the Department of Physical Mechanics, St. Petersburg State University. Part 3. Modeling of the Dynamics of Natural and Man-Made Microparticles in Space Plasma

A. B. Yakovlev p. 347  abstract

MATHEMATICS

Pairs of Trials in Bernoulli Sequences of Random Variables

S. M. Ananjevskii, and V. B. Nevzorov p. 363  abstract

Multivariate Distribution Function for a Centered and Normalized Time Series with Gaussian White Noise

R. V. Baluev, and V. V. Topinskiy p. 370  abstract

On the Feasibility of Using D-Optimal Designs for a Multivariate Quadratic Model without an Intercept Term

P. V. Shpilev p. 379  abstract

A Note on Eneström–Kakeya Theorem for Polynomial with Quaternionic Variable

Urba Akhter, and Abdul Liman p. 387  abstract

Study of Generalized Double Phase Problem with ς-Laplacian Operator

Arhrrabi Elhoussain, and El-Houari Hamza p. 397  abstract

Multivalued Coupled Coincidence Point Results Using Admissibility

B. S. Choudhury, N. Metiya, A. Kundu, and S. Kundu p. 408  abstract

MECHANICS

On the Influence of Hydrogen on Deep Contact Stresses in a Ball Bearing Ring

T. V. Zinovieva, A. R. Galyautdinova, and A. K. Belyaev p. 419  abstract

Modeling of Transport Coefficients in Nonequilibrium High-Speed Flows Using Machine Learning

V. A. Istomin, and S. A. Pavlov p. 428  abstract

Modeling of Space Debris Removal by Ion Beam with Averaged Equations

A. S. Ledkov, and D. V. Bakulin p. 438  abstract

ASTRONOMY

Near-Earth Asteroids Approaching Jupiter

T. Yu. Galushina, O. N. Letner, A. V. Shein, E. S. Bakanas, P. A. Levkina, and D. S. Kaparulin p. 446  abstract