Contents

Differential Equations

Vol. 61, No. 9, 2025

PARTIAL DIFFERENTIAL EQUATIONS

Classical Solution of the First Mixed Problem for the Inhomogeneous Liouville Equation in a Half-Strip

V. I. Korzyuk and J. V. Rudzko p. 1337  abstract

Weighted Hardy–Littlewood Spaces in Piecewise Smooth Domains

A. P. Soldatov p. 1349  abstract

On the Leading Term of the Spectral Asymptotics for the Zaremba–Steklov Operator in a Bounded Domain

A. G. Chechkina p. 1365  abstract

INTEGRAL EQUATIONS

On Elliptic Problems and Integral Equations

A. V. Vasil’ev, V. B. Vasil’ev, and I. O. Shmal p. 1377  abstract

Solvability of a System of Nonlinear Integral Equations with Piecewise Constant Kernels

P. S. Nesterenko, A. A. Nikitin, and M. V. Nikolaev p. 1389  abstract

Boundary Value Problem of Two-Dimensional Filtration of a Liquid in an Inhomogeneous Layer with a Boundary Condition Having Discontinuity of the First Kind

V. F. Piven’ p. 1401  abstract

Generalized Solutions of Singular Integral Equations and Inversion Formulas

N. B. Pleshchinskii p. 1412  abstract

On the Existence of Solutions of a Two-Dimensional Hypersingular Integral Equation in the Class of Functions with a Singularity on the Boundary of the Domain

A. V. Setukha p. 1426  abstract

On the Fredholm Property of a Hypersingular Integral Operator in a Problem of Electromagnetic Wave Scattering on a Slab Covered with Graphene

Yu. G. Smirnov and S. V. Tikhov p. 1449  abstract

NUMERICAL METHODS

Local Computational Algorithms for a System of First-Order Equations with Memory Effects

A. A. Alikhanov and P. N. Vabishchevich p. 1466  abstract

Numerical Method for Solving Diffraction Problems for Paired Nanoparticles Taking into Account Quantum Effects

Yu. A. Eremin and V. V. Lopushenko p. 1480  abstract

Erratum

Erratum to: Exploring the Stability Region and Designing the Operator Splitting Numerical Algorithm for the Virus Communication in Reaction Diffusion Environment

Aqib Zafar, Shahid Hussain, Xinlong Feng, and Denis Sidorov p. 1489  abstract