Vol. 59, No. 3, 2023

Differential Equations

ORDINARY DIFFERENTIAL EQUATIONS

On the Preservation of a Quadratic Lyapunov Function of a Linear Differential Autonomous System under Constant Perturbations of the Coefficients

O. G. Antonovskaya p. 293 abstract

On a Nonclassical Eigenvalue Problem with Nonlinearizable Solutions

D. V. Valovik, and V. Yu. Martynova p. 301 abstract

On the Spectral Properties of High-Order Differential Operators with Periodic Boundary Conditions

N. B. Kerimov p. 312 abstract

Asymptotics of the Solution of a Singularly Perturbed System of Equations with a Single-Scale Internal Layer

R. E. Simakov p. 332 abstract

PARTIAL DIFFERENTIAL EQUATIONS

A Nonlocal Problem with an Integral Matching Condition for a Loaded Parabolic-Hyperbolic Equation with a Fractional Caputo Derivative

O. Kh. Abdullaev p. 351 abstract

A Time-Nonlocal Inverse Problem for the Beam Vibration Equation with an Integral Condition

U. D. Durdiev p. 359 abstract

Smooth Solutions of Hyperbolic Equations with Translation by an Arbitrary Vector in the Free Term

N. V. Zaitseva, and A. B. Muravnik p. 371 abstract

Pullback Attractors of the Bingham Model

V. G. Zvyagin, and A. S. Ustiuzhaninova p. 377 abstract

INTEGRAL EQUATIONS

On the Solvability of a System of Nonlinear Integral Equations with the Hammerstein–Stieltjes Operator on the Half-Line

Kh. A. Khachatryan, and H. S. Petrosyan p. 383 abstract

NUMERICAL METHODS

Multistep Methods for Second-Order Differential-Algebraic Equations

M. V. Bulatov, and L. S. Solovarova p. 392 abstract

A Numerical Method for the Optimization of the Diffraction Efficiency of Thin-Layer Coatings with Diffraction Gratings

V. Yu. Martynova, Yu. G. Smirnov, and A. V. Tikhonravov p. 404 abstract

CONTROL THEORY

On the Stability of Solutions to Control Problems for a Nonlinear Reaction–Diffusion–Convection Model

R. V. Brizitskii, and P. A. Maksimov p. 414 abstract

On Some Extremal Problems Associated with Motion in a Velocity Field

P. V. Nikolenko p. 428 abstract

Retraction Note

Retraction Note: Proof of the Jacobian Conjecture in the Two-Dimensional Case and Global Isochronous Centers of Polynomial Hamiltonian Differential Systems

V. V. Amel’kin p. 439 abstract