Contents

Differential Equations


Vol. 60, No. 6, 2024


ORDINARY DIFFERENTIAL EQUATIONS

Existence and Uniqueness of Strong Solutions of Mixed-Type Stochastic Differential Equations Driven by Fractional Brownian Motions with Hurst Exponents \(H>1/4 \)

M. M. Vas’kovskii, and P. P. Stryuk p. 691  abstract

A Refined Global Poincaré–Bendixson Annulus with the Limit Cycle of the Rayleigh System

Y. Li, A. A. Grin, and A. V. Kuzmich p. 703  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Group Analysis, Reductions, and Exact Solutions of the Monge–Ampère Equation in Magnetic Hydrodynamics

A. V. Aksenov, and A. D. Polyanin p. 716  abstract

Existence of a Renormalized Solution of a Quasilinear Elliptic Equation without the Sign Condition on the Lower-Order Term

L. M. Kozhevnikova p. 729  abstract


CONTROL THEORY

Existence of Optimal Sets for Linear Variational Equations and Inequalities

V. G. Zamuraev p. 751  abstract

Solution of the Spectrum Allocation Problem for a Linear Control System with Closed Feedback

S. P. Zubova, and E. V. Raetskaya p. 763  abstract


NUMERICAL METHODS

Explicit–Implicit Schemes for Calculating Dynamics of Elastoviscoplastic Media with Softening

V. I. Golubev, I. S. Nikitin, A. V. Shevchenko, and I. B. Petrov p. 782  abstract

Using Operator Inequalities in Studying the Stability of Difference Schemes for Nonlinear Boundary Value Problems with Nonlinearities of Unbounded Growth

P. P. Matus p. 794  abstract