Contents

Differential Equations


Vol. 59, No. 8, 2023


ORDINARY DIFFERENTIAL EQUATIONS

Existence and Stability of Solutions with Internal Transition Layer for the Reaction–Diffusion–Advection Equation with a KPZ-Nonlinearity

N. N. Nefedov, and A. O. Orlov p. 1009  abstract

On the Monotonicity of Solutions of Nonlinear Systems with Respect to the Initial Conditions

L. I. Rodina, and M. S. Woldeab p. 1025  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Solution of a Singularly Perturbed Mixed Problem on the Half-Line for a Parabolic Equation with a Strong Turning Point of the Limit Operator

A. G. Eliseev, T. A. Ratnikova, and D. A. Shaposhnikova p. 1032  abstract

The Problem of Two-Dimensional String Vibrations with a Nonlinear Condition

M. B. Zvereva p. 1050  abstract

Representation of the Green’s Function of the Dirichlet Problem for the Polyharmonic Equation in the Ball

V. V. Karachik p. 1061  abstract

Classical Solution of the First Mixed Problem for the Telegraph Equation with a Nonlinear Potential in a Curvilinear Quadrant

V. I. Korzyuk, and J. V. Rudzko p. 1075  abstract


FINITE-DIFFERENCE EQUATIONS

Linear Recurrent Equations in the Space of Convex Compact Sets and the Diameters of Their Solutions

A. S. Voidelevich p. 1090  abstract


INTEGRAL EQUATIONS

On the Fredholm Property and Solvability of a System of Integral Equations in the Transmission Problem for the Helmholtz Equation

Yu. G. Smirnov, and O. V. Kondyrev p. 1095  abstract


CONTROL THEORY

Interior of the Integral of a Set-Valued Mapping and Problems with a Linear Control System

M. V. Balashov p. 1105  abstract

Optimal Feedback in a Linear–Quadratic Optimal Control Problem for a Fractional-Order System

M. I. Gomoyunov, and N. Yu. Lukoyanov p. 1117  abstract

Quasidifferentiability and Uniform Observability of Linear Time-Varying Singularly Perturbed Systems

O. B. Tsekhan p. 1130  abstract


SHORT COMMUNICATIONS

Comparing the Spectra of Oscillation Exponents of a Nonlinear System and the First Approximation System

A. Kh. Stash p. 1147  abstract