Contents

Differential Equations


Vol. 59, No. 2, 2023


ORDINARY DIFFERENTIAL EQUATIONS

On One Type of Oscillating Solutions of a Second-Order Ordinary Differential Equation with a Three-Position Hysteresis Relay and a Perturbation

V. V. Yevstafyeva, A. M. Kamachkin, and D. K. Potapov p. 153  abstract

On the Spectral Properties of a Fourth-Order Self-Adjoint Operator

D. M. Polyakov p. 168  abstract

On the Gröbner Basis of the Ideal of Lyapunov Quantities of the Kukles System

A. E. Rudenok, and M. N. Vasilevich p. 174  abstract


PARTIAL DIFFERENTIAL EQUATIONS

Boundary Value Problem for an Inhomogeneous Fourth-Order Equation with Lower-Order Terms

Yu. P. Apakov, and S. M. Mamazhonov p. 188  abstract

On the Fundamental Solution of a Parabolic Equation with Dini Continuous Coefficients

E. A. Baderko, and K. V. Semenov p. 199  abstract

Finding the Two-Dimensional Relaxation Kernel of an Integro-Differential Wave Equation

D. K. Durdiev, and J. Sh. Safarov p. 214  abstract

Well-Posedness of the Generalized Samarskii–Ionkin Problem for Elliptic Equations in a Cylindrical Domain

A. I. Kozhanov, and A. V. Dyuzheva p. 230  abstract

On the Absence of Solutions of Differential Inequalities with the \(\infty \)-Laplacian

A. A. Kon’kov p. 243  abstract


CONTROL THEORY

Stability Criterion and Sharp Estimates for the “Super-Twisting” Algorithm

V. V. Fomichev, and A. O. Vysotskii p. 260  abstract

On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator

A. V. Chernov p. 265  abstract


SHORT COMMUNICATIONS

On the Bifurcation of Thresholds of the Essential Spectrum with a Spectral Singularity

D. I. Borisov, and D. A. Zezyulin p. 278  abstract

Spectral Properties of the Generator of a Semigroup Generated by the Volterra Integro-Differential Equation

V. V. Vlasov, and N. A. Rautian p. 283  abstract

On the Solvability of a Periodic Problem for a System of Ordinary Differential Equations with the Main Positive Homogeneous Nonlinearity

E. Mukhamadiev, and A. N. Naimov p. 289  abstract