Contents

Differential Equations


Vol. 59, No. 6, 2023


ORDINARY DIFFERENTIAL EQUATIONS

On Determining the Coefficients of a Quadratic Lyapunov Function with Given Properties in the Case of Multiple Roots of the Characteristic Equation

O. G. Antonovskaya p. 721  abstract

Oscillating Solutions of a Second-Order Ordinary Differential Equation with a Three-Position Hysteresis Relay without Entering the Saturation Zones

V. V. Yevstafyeva p. 726  abstract

Studying the Oscillation, Rotation, and Wandering Indicators by the First Approximation

I. N. Sergeev p. 741  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Elliptic Problems and Integral Equations in Spaces of Different Smoothness in Different Variables

A. V. Vasil’ev, and V. B. Vasil’ev p. 751  abstract

Approximation of the Solution of an Inverse Problem for a Singularly Perturbed System of Partial Differential Equations

A. M. Denisov p. 762  abstract

Minimum Principle for the Tikhonov Functional in the Problem of Stable Continuation of a Potential Field from a Surface

E. B. Laneev, and N. Yu. Chernikova p. 769  abstract

Two-Dimensional Fluid Filtration Problems with Boundary Sources in an Anisotropic Inhomogeneous Layer

V. F. Piven’ p. 781  abstract


NUMERICAL METHODS

On A.P. Favorskii’s Quasiacoustic Scheme

M. V. Abakumov, and V. A. Isakov p. 799  abstract

Nonideal Thermal Contact Problem

M. P. Galanin, and A. S. Rodin p. 810  abstract

Explicit–Implicit Schemes for Calculating the Dynamics of Elastoviscoplastic Media with a Short Relaxation Time

V. I. Golubev, I. S. Nikitin, N. G. Burago, and Yu. A. Golubeva p. 822  abstract

Sliding Window Algorithm for Parametric Identification of Dynamical Systems with Rectangular and Ellipsoid Parameter Uncertainty Domains

A. Yu. Morozov, and D. L. Reviznikov p. 833  abstract

On Approximation of Surface Derivatives of Functions with the Application of Integral Operators

A. V. Setukha p. 847  abstract


SHORT COMMUNICATIONS

Nonanalytic First Integrals of Analytic Systems of Differential Equations in a Neighborhood of Stable Equilibria

V. V. Kozlov p. 862  abstract