Contents

Differential Equations


Vol. 60, No. 1, 2024


ORDINARY DIFFERENTIAL EQUATIONS

Holomorphic Regularization of Singularly Perturbed Integro-Differential Equations

V. S. Besov, and V. I. Kachalov p. 1  abstract

Reflecting Function and a Generalization of the Notion of First Integral

V. I. Mironenko, and V. V. Mironenko p. 12  abstract

Equivalent Differential Equations in Problems of Control Theory and the Theory of Hamiltonian Systems

M. G. Yumagulov, and L. S. Ibragimova p. 23  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Inverse Problem of Determining Two Coefficients of Lower-Order Terms in a Mixed Parabolic-Hyperbolic Equation

D. K. Durdiev p. 41  abstract

Applying Differential-Geometric Control Theory Methods in the Theory of Partial Differential Equations. III

V. I. Elkin p. 56  abstract

Internal Transition Layer Structure in the Reaction–Diffusion Problem for the Case of a Balanced Reaction with a Weak Discontinuity

E. I. Nikulin, V. T. Volkov, and D. A. Karmanov p. 65  abstract

Solutions of Analogs of Time-Dependent Schrödinger Equations Corresponding to a Pair of \(H^{2+2+1}\) Hamiltonian Systems in the Hierarchy of Degenerations of an Isomonodromic Garnier System

V. A. Pavlenko p. 77  abstract


INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS

The Method of Lyapunov Functionals and the Boundedness of Solutions and Their First and Second Derivatives for a Third-Order Linear Equation of the Volterra Type on the Half-Line

S. Iskandarov, and A. T. Khalilov p. 91  abstract


CONTROL THEORY

Spectrum Assignment for a System of Neutral Type

A. V. Metel’skii p. 101  abstract

On the Problem of Controlling a Nonlinear System by a Discrete Control under Disturbance

K. A. Shchelchkov p. 127  abstract


NUMERICAL METHODS

On Error Estimates for Discretization Operators for the Solution of the Poisson Equation

A. B. Utesov p. 136  abstract