Vol. 59, No. 1, 2023

Differential Equations

ORDINARY DIFFERENTIAL EQUATIONS

Solution Uniqueness Criteria in a Time-Nonlocal Problem for the Operator Differential Equation \(l(\cdot )\!-\!A\) with the Tricomi Operator \(A\)

B. E. Kanguzhin, and B. D. Koshanov p. 1 abstract

Properties of Degenerate Systems of Linear Integro-Differential Equations and Initial Value Problems for These Equations

V. F. Chistyakov, and E. V. Chistyakova p. 13 abstract

PARTIAL DIFFERENTIAL EQUATIONS

On the Existence of Solutions of the Neumann Problem for the \(p \)-Laplacian on Parabolic Manifolds with a Model End

V. V. Brovkin p. 29 abstract

Equivalence of Entropy and Renormalized Solutions of a Nonlinear Elliptic Problem in Musielak–Orlicz Spaces

L. M. Kozhevnikova, and A. P. Kashnikova p. 34 abstract

Solution Blow-Up and Global Solvability of the Cauchy Problem for a Model Third-Order Partial Differential Equation

Kh. G. Umarov p. 51 abstract

FINITE-DIFFERENCE EQUATIONS

Projector Approach to Constructing the Asymptotics of Solution of Initial Value Problems for Weakly Nonlinear Discrete Systems with Small Step in the Critical Case

G. A. Kurina, and N. T. Hoai p. 74 abstract

CONTROL THEORY

Asymptotics of Solutions of Linear Singularly Perturbed Optimal Control Problems with a Convex Integral Performance Index and a Cheap Control

A. R. Danilin, and A. A. Shaburov p. 87 abstract

On Linearization of Single-Input Nonlinear Control Systems Based on Time Scaling and a One-Fold Prolongation

D. A. Fetisov p. 103 abstract

NUMERICAL METHODS

Numerical Construction of the Transform of the Kernel of the Integral Representation of the Poincaré–Steklov Operator for an Elastic Strip

A. A. Bobylev p. 119 abstract

A Continuous Method for Finding a Generalized Fixed Point of a Nonexpansive Mapping on a Set in a Hilbert Space

I. P. Ryazantseva p. 135 abstract

SHORT COMMUNICATIONS

On a Nonlinear Second-Order Ordinary Differential Equation

A. A. Kosov, and E. I. Semenov p. 143 abstract

Solvability of the Pursuit Problem for One Differential Game in a Banach Space

E. M. Mukhsinov p. 147 abstract