Contents

Vestnik St. Petersburg University, Mathematics

Vol. 59, No. 4, 2026

MATHEMATICS

Groups and Series of Successes and Failures in Bernoulli Schemes

S. M. Ananjevskii and V. B. Nevzorov p. 423  abstract

A Generalized Gamma Method for Numerical Inversion of the Laplace Transform in Probabilistic Problems

V. P. Bubnov, E. A. Blagoveshchenskaya, and V. A. Popova p. 430  abstract

Characteristics of Some Inversion Methods of the Integral Laplace Transform

A. V. Lebedeva and V. M. Ryabov p. 439  abstract

A Generalization of the Ahlfors Theorem with Hausdorff Measures

K. A. Fofanov p. 446  abstract

On the Strong Law of Large Numbers and Maximal Inequalities for Sums of Random Variables

A. N. Frolov p. 452  abstract

On the Exponential Diophantine Equation (an – 1)(bn – 1) = abx2

R. Keskin and Z. Şiar p. 458  abstract

Smooth Diffeomorphisms of Three-Dimensional Space with Stable Periodic Points

E. V. Vasilieva p. 467  abstract

Belonging to Class P of the Problem of Verifying the Satisfiability of a Propositional Formula with a Given Value of Its Bracket Characteristic

N. K. Kosovskiy and T. M. Kosovskaya p. 472  abstract

Record Values with Restrictions

V. B. Nevzorov p. 475  abstract

Recurrence Equations for Insurance Company Ruin Probabilities for Some Risk Models

T. M. Tovstik and V. Yu. Bogdan p. 480  abstract

On Small Deviation Probabilities for Some Iterated Random Processes

A. N. Frolov p. 490  abstract

MECHANICS

Effect of the Rod Length Ratio on the Eigenfrequencies of Two Rigidly Coupled Rods

S. M. Bauer, N. P. Dorofeev, and A. L. Smirnov p. 498  abstract

On a Mathematical Model for Solving the Spatial Problem of Unsteady Hypersonic Flow over a Thin Wing

V. I. Bogatko and E. A. Potekhina p. 507  abstract

Non-Stationary Flows of a Rotating Fluid with Three Coriolis Parameters

K. V. Gubareva and E. Yu. Prosviryakov p. 512  abstract

On Some Truncated Equations for the Planar Motion of a Dumbbell on the “Gravitational Propeller” Manifold in the Generalized Elliptic Sitnikov Problem

A. R. Ismagilov p. 520  abstract

On the Effect of Hydrogen on the Wear of the Rolling Surface of Railway Tires and a Method for Improving Its Hardness

I. Yu. Soboleva, Sh. S. Fayzibaev, R. P. Nigay, T. V. Zinovieva, and A. K. Belyaev p. 529  abstract

On the Nonlinear Dynamics of a Levitating Conducting Disk in the Two-Circuit Approximation of the Induced Current Field

P. P. Udalov, I. A. Popov, A. V. Lukin, and K. V. Poletkin p. 537  abstract

Electrodynamic Stabilization of the Programmed Rotation of an Earth Satellite in the Orbital Coordinate System

A. Yu. Aleksandrov and A. A. Tikhonov p. 547  abstract

Nonclassical Shell Theories for the Analysis of Transversally Isotropic Spherical and Cylindrical Layers under Normal Pressure

S. M. Bauer and E. B. Voronkova p. 557  abstract

Modeling of the Expansion of Finely Dispersed Particles during Electrical Explosion of Conductors

V. A. Morozov and S. S. Shipilov p. 564  abstract

Buckling of a Thin Anisotropic Ellipsoid

A. L. Smirnov p. 570  abstract

ASTRONOMY

Figure-Eight Orbit with Unequal Masses in the Planar Three-Body Problem

M. S. Dromashko p. 581  abstract

Solar Mass Loss due to Solar Wind, According to Ulysses, Solar Orbiter, and Parker Solar Probe Data

S. S. Turygin p. 590  abstract