Contents

Differential Equations

Vol. 58, No. 10, 2022

ORDINARY DIFFERENTIAL EQUATIONS

On Asymptotic Behavior of Solutions of Linear Inhomogeneous Stochastic Differential Equations with Correlated Inputs

E. S. Palamarchuk p. 1291  abstract

On Systems of Differential Equations with Constraints in the Form of Not Necessarily Convex Sets

L. P. Petrova, and I. N. Pryadko p. 1309  abstract

PARTIAL DIFFERENTIAL EQUATIONS

Exact Solutions of a Nonlinear Equation of the Theory of Spin Waves

A. I. Aristov, and A. A. Kholomeeva p. 1318  abstract

Poisson Potential in the First Initial–Boundary Value Problem for a Parabolic System in a Semibounded Domain on the Plane

E. A. Baderko, and S. I. Sakharov p. 1327  abstract

Tricomi Problem for a Differential–Difference Equation of Mixed Type with Parallel Degeneration Lines

A. N. Zarubin p. 1338  abstract

Classical Solution of the First Mixed Problem for the Wave Equation in a Cylindrical Domain

V. I. Korzyuk, and I. I. Stolyarchuk p. 1348  abstract

On Degenerate Nonlinear Parabolic Equations on the Bohr Compactum

E. Yu. Panov p. 1355  abstract

Asymptotic Solution of the Cauchy Problem with Localized Initial Data for a Wave Equation with Small Dispersion Effects

S. A. Sergeev p. 1376  abstract

Smooth Solution of the First Initial–Boundary Value Problem for Parabolic Systems in a Semibounded Domain with Nonsmooth Lateral Boundary on the Plane

K. D. Fedorov p. 1396  abstract

INTEGRAL AND INTEGRO-DIFFERENTIAL EQUATIONS

Well-Posed Solvability of Volterra Integro-Differential Equations in Hilbert Spaces

V. V. Vlasov, and N. A. Rautian p. 1410  abstract

SHORT COMMUNICATIONS

On Instability in Systems with an Integral Invariant

V. V. Kozlov p. 1427  abstract

On the Oscillation Properties of Elliptic Equations in Unbounded Domains

A. Toraev p. 1432  abstract