B. G. Grebenshchikov, S. A. Zagrebina, “Methods of research of some systems with linear delay”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2024, Volume 234,Pages <nobr>133

Methods of research of some systems with linear delay

B. G. Grebenshchikov, S. A. Zagrebina

South Ural State University, Chelyabinsk

Abstract: In this paper, we discuss methods for obtaining sufficient conditions for systems of linear differential equations with linear delay of neutral type and methods for analyzing asymptotic properties of certain classes of systems of neutral type.

Keywords: functional differential equation, stability, Lyapunov–Krasovsky functionals, unstability, difference systems

UDC: 517.929

MSC: 34K06, 34K10, 34K13

DOI: 10.36535/2782-4438-2024-234-133-142