Contents

Vestnik St. Petersburg University, Mathematics

Vol. 56, No. 2, 2023

To the Tercentenary of St. Petersburg University

Stochastic Computational Methods and Experiment Design

S. M. Ermakov and V. B. Melas p. 135  abstract

Mathematics

On Generalized Bessel Potentials and Perfect Functional Completions

A. L. Dzhabrailov and E. L. Shishkina p. 143  abstract

On Uniform Consistency of Neyman’s Type Nonparametric Tests

M. S. Ermakov and D. Yu. Kapatsa p. 153  abstract

Separation of Roots of Systems of Nonlinear Equations. Stochastic Approach

S. M. Ermakov and S. N. Leora p. 164  abstract

On the Solution of a Two-Sided Vector Equation in Tropical Algebra

N. K. Krivulin p. 172  abstract

On the Asymptotic Power of a Method for Testing Hypotheses on the Equality of Distributions

V. B. Melas p. 182  abstract

Approximation of Hölder Functions in the Lp Norm by Harmonic Functions on Some Multidimensional Compact Sets

D. A. Pavlov p. 190  abstract

Fixed Point Theorem via Measure of Non-Compactness for a New Kind of Contractions

Youssef Touail, Amine Jaid and Driss El Moutawakil p. 198  abstract

Mechanics

Modeling of Nonequilibrium Processes behind a Shock Wave in a Mixture of Carbon Dioxide and Argon

S. A. Batalov and E. V. Kustova p. 203  abstract

Differential Resonant MEMS Accelerometer: Synchronization Characteristics of Weakly Coupled Microbeam Sensing Elements

D. A. Indeitsev, V. S. Igumnova, A. V. Lukin, I. A. Popov and L. V. Shtukin p. 212  abstract

Finite Deformations of a Bilayer Dielectric Nonlinear-Elastic Anisotropic Tube under the Action of an Electric Field

A. M. Kolesnikov and D. A. Letunova p. 224  abstract

On Opto-Thermally Excited Parametric Oscillations of Microbeam Resonators. I

N. F. Morozov, D. A. Indeitsev, A. V. Lukin, I. A. Popov and L. V. Shtukin p. 231  abstract

Free Vibrations of a Cylindrical Shell with a Cap. II. Analysis of the Spectrum

G. A. Nesterchuk, A. L. Smirnov and S. B. Filippov p. 245  abstract

Control of Composite-Wing Oscillation Coupling

V. M. Ryabov and B. A. Yartsev p. 252  abstract

Numerical Modeling of Hydrodynamic Accidents: Erosion of Dams and Flooding of Territories

S. S. Khrapov p. 261  abstract