Contents

Differential Equations


Vol. 60, No. 10, 2024


ORDINARY DIFFERENTIAL EQUATIONS

Bifurcations in Integrable Hamiltonian Systems near Corank-One Singularities

A. Z. Ali, V. A. Kibkalo, E. A. Kudryavtseva, and M. V. Onufrienko p. 1311  abstract


PARTIAL DIFFERENTIAL EQUATIONS

The Cauchy Problem for a Nonlinear Wave Equation

M. V. Artemeva, and M. O. Korpusov p. 1369  abstract

Initial Value Problems for the Abstract Legendre Equation with Two Parameters

A. V. Glushak p. 1383  abstract

The Cauchy Problem for a Parabolic System with Variable Coefficients in Anisotropic Zygmund Spaces

A. Yu. Egorova, and A. N. Konenkov p. 1396  abstract

On Exact Solutions to Multidimensional Generalized Monge–Ampère Equation

A. A. Kosov, and E. I. Semenov p. 1404  abstract

Asymptotic Behavior of the Solution to the Cauchy Problem for a Nonlinear Equation

Kh. G. Umarov p. 1419  abstract


CONTROL THEORY

Designing a Control for a Multidimensional System of Ordinary Differential Equations with Relay Hysteresis and Perturbation

V. V. Yevstafyeva p. 1437  abstract

Solution of a Multipoint Control Problem with Integral Equality-Type Constraints

V. N. Laptinskii p. 1455  abstract

Finite Stabilization Controllers for Hybrid Linear Continuous-Discrete Systems

V. E. Khartovskii p. 1463  abstract


NUMERICAL METHODS

A Posteriori Error Estimates for Approximate Solutions to the Obstacle Problem for the \(p\) -Laplacian

D. E. Apushkinskaya, A. A. Novikova, and S. I. Repin p. 1476  abstract


SHORT COMMUNICATIONS

On the Weak Solvability of a Mathematical Model Describing the Motion of Polymer Solutions with Memory

A. V. Zvyagin, and M. I. Strukov p. 1491  abstract

On One Gellerstedt Problem with Data on Parallel Characteristics

T. E. Moiseev, and A. A. Kholomeeva p. 1497  abstract

On Estimates in an Equation with a Parameter and a Discontinuous Operator

D. K. Potapov p. 1502  abstract