Contents

Vestnik St. Petersburg University, Mathematics

Vol. 59, No. 3, 2026

MATHEMATICS

On Some Schemes in Bernoulli Sequences of Random Variables

S. M. Ananjevskii and V. B. Nevzorov p. 245  abstract

Polynomial Approximation for Analytic Continuation from a Boundary Arc

I. V. Videnskii and N. A. Shirokov p. 252  abstract

Newton Polyhedron and Spectral Asymptotics of Differential Operators

A. I. Karol p. 263  abstract

Applying Orthogonal Polynomials to the Inversion Problem for the Laplace Integral Transform

A. V. Lebedeva and V. M. Ryabov p. 268  abstract

A New Generalization of Tychonoff and Darbo Theorems and Solving a Class of Systems of Fredholm Integral Equations on Unbounded Domains

F. Soltanpour, H. Majani, and Ali Shole Haghighi p. 278  abstract

On the Probability of a Linear Combination of Random Vectors Hitting n-Dimensional Parallelepiped

M. Revyakov p. 288  abstract

An Example of a Space Lp(·) on Which the Cauchy–Leray–Fantappiè Operator for Complex Ellipsoid is not Bounded

A. S. Rotkevich p. 296  abstract

MECHANICS

On the Role of the Unloaded Configuration in Diffusion-Elasticity Problems

N. M. Bessonov and K. P. Frolova p. 305  abstract

Piezoelectric Transducer Model and Analysis of Its Operation

V. I. Bogatko, V. A. Morozov, P. S. Platonov, and A. B. Yakovlev p. 315  abstract

State-Specific Transport Coefficients for Various Vibrational Distributions Taking into Account Varying Molecular Collision Diameter

V. A. Istomin and I. Yu. Orlovskiy p. 324  abstract

A Posteriori Error Control of Neural Network Solutions to Plane Problems of Linear Elasticity Theory

D. A. Petukhov and M. E. Frolov p. 335  abstract

Calculations of Static Equilibrium, Stability, and Vibrations of a Carbon Nanotube Based on the Moment-Membrane Theory of Elastic Thin Cylindrical Shells

A. H. Sargsyan and S. H. Sargsyan p. 344  abstract

Dynamic Nonstationary Processes in a Two-Layer Semi-Infinite Cylinder

M. Kh. Teshaev, M. M. Mirsaidov, I. I. Safarov, Z. I. Boltayev, and N. R. Eliboyev p. 356  abstract

Averaging the Parameters of an Elastic Shell with a Non-Uniform Poisson’s Ratio Across Its Thickness Using the Example of Shell Modes of a Cylindrical Shell

G. V. Filippenko p. 364  abstract

On the Loss of Stability of Symmetrical Equilibrium Forms of Circular Plates under Normal Pressure

S. M. Bauer, E. B. Voronkova, and A. A. Romanova p. 375  abstract

Coefficient of Restitution of Velocity for Normal Impact of a Perfectly Elastic Ellipsoid of Revolution

A. S. Zotikov and V. A. Lashkov p. 380  abstract

Change in Surface Roughness under the Influence of a Cloud of Solid Particles

V. A. Lashkov and S. K. Matveev p. 387  abstract

Perturbations of the Spectrum of Natural Frequencies of Vibrations

O. V. Fedchun and A. L. Smirnov p. 393  abstract

Influence of Aeleron Position on Transonic Flow Around an Aerodynamic Profile

A. N. Ryabinin p. 400  abstract

Numerical Study of Cross-Flow Around Multiple Plates on a Screen

A. N. Ryabinin p. 407  abstract

ASTRONOMY

Spherical Analysis of the Total Electron Content of the Ionosphere, I: Large-Scale Features of the Ionospheric Circulation

D. A. Trofimov, I. V. Chekunov, and S. D. Petrov p. 414  abstract