Contents

Differential Equations


Vol. 60, No. 9, 2024


ORDINARY DIFFERENTIAL EQUATIONS

Stability Change of Invariant Manifolds of Differential Systems with Multiscale Variables

O. S. Kipkaeva, and E. A. Shchepakina p. 1123  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Asymptotic Solution for Three-Dimensional Reaction–Diffusion–Advection Equation with Periodic Boundary Conditions

A. Liubavin, M. Ni, Y. Zhang, and D. Chaikovskii p. 1134  abstract

On the Existence of Smooth Solutions to a Hyperbolic Differential-Difference Equation

N. V. Zaitseva p. 1153  abstract


INTEGRAL EQUATIONS

Existence and Uniqueness of Solutions to Nonlinear Functional Integral Itô Equations

R. I. Kadiev, and A. Ponosov p. 1160  abstract

Volume Singular Integral Equations for Problems of Low-Frequency Scattering of Electromagnetic Waves in Anisotropic Structures

A. B. Samokhin, A. S. Samokhina, and I. A. Yurchenkov p. 1183  abstract


INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS

On the Existence of an Equilibrium in the Dieckmann–Law’s Model in the Case of Piecewise Constant Kernels

M. V. Nikolaev, and A. A. Nikitin p. 1198  abstract

Integro-Differential Equations in the Problem of Scattering of Electromagnetic Waves by a Graphene-Coated Dielectric Body

Yu. G. Smirnov, and O. V. Kondyrev p. 1209  abstract


FINITE-DIFFERENCE EQUATIONS

Existence of Discrete Traveling Waves in Fully Coupled Network of Mackey–Glass Relay Generators

V. V. Alekseev, M. M. Preobrazhenskaia, and V. K. Vorontsova p. 1217  abstract


NUMERICAL METHODS

Construction of the Transfer Function of the Poincaré–Steklov Operator for a Coated Elastic Half-Plane

A. A. Bobylev p. 1232  abstract

Solving a One-Dimensional Hypersingular Integral Equation Using Haar’s Wavelets

D. A. Kogtenev, and N. L. Zamarashkin p. 1249  abstract

A Two-Point Collocation Method for the Numerical Solution of One-Dimensional Hypersingular Integral Equations on Nonuniform Partitions

A. S. Nenashev p. 1269  abstract

Convergence of the Method of Piecewise Linear Approximations and Collocations for a Two-Dimensional Hypersingular Integral Equation on a Set with Boundary

A. V. Setukha p. 1284  abstract


SHORT COMMUNICATIONS

On the Spectrum of \(\boldsymbol {2\times 2} \) Dirac Operator with Degenerate Boundary Conditions

A. S. Makin p. 1305  abstract