Vol. 59, No. 7, 2023

Differential Equations

On Some Properties of the Shift on an Infinite-Dimensional Torus

S. D. Glyzin, and A. Yu. Kolesov p. 867 abstract

Generalized Solutions of the First Boundary Value Problem for a Differential–Difference Equation in Divergence Form on a Finite Interval

A. L. Skubachevskii, and N. O. Ivanov p. 880 abstract

On the Blow-Up of the Solution of a Problem for the Sobolev Equation with a Noncoercive Source

M. V. Artemeva, and M. O. Korpusov p. 893 abstract

Existence and Uniqueness of the Classical Solution of the First Boundary Value Problem for Parabolic Systems on the Plane

A. N. Konenkov p. 904 abstract

On Hypersingular Operators Associated with Peridynamics

Sh. A. Alimov, and Sh. N. Sheraliev p. 914 abstract

Variational Methods for Solving Problems Associated with Artificial Intelligence

M. V. Babushkin, and V. Yu. Tertychny-Dauri p. 919 abstract

Linear Group Pursuit Problem with Fractional Derivatives, Simple Matrices, and Different Possibilities of Players

N. N. Petrov, and A. I. Machtakova p. 933 abstract

Difference Decomposition Schemes Based on Splitting the Solution and Operator of the Problem

P. N. Vabishchevich p. 945 abstract

Globally Stable Difference Schemes for the Fisher Equation

P. P. Matus, and D. Pylak p. 962 abstract

On the Numerical Solution of Nonconservative Hyperbolic Systems of Equations

R. R. Polekhina, M. V. Alekseev, and E. B. Savenkov p. 970 abstract

High-Order Grid-Characteristic Method for Systems of Hyperbolic Equations with Piecewise Constant Coefficients

N. I. Khokhlov, and I. B. Petrov p. 985 abstract

The Existence of a Unique Fixed Point of Mappings Generated by a Multidimensional System with Relay Hysteresis

A. M. Kamachkin, V. V. Yevstafyeva, and D. K. Potapov p. 998 abstract

On Bounded Trajectories of an Autonomous System with an Isolated Positively Homogeneous Nonlinearity

E. Mukhamadiev, A. N. Naimov, and M. V. Bystretsky p. 1003 abstract