I. I. Matveeva, A. V. Khmil, “Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms”, Mathematical notes of NEFU, 2023, Volume 30, Issue 4,Pages <nobr>37

Mathematics

Stability of solutions to one class of difference equations with time-varying delay and periodic coefficients in linear terms

I. I. Matveeva^a, A. V. Khmil^b

^a Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk
^b Novosibirsk State University

Abstract: We consider a class of systems of difference equations with time-varying delay and periodic coefficients in linear terms. Conditions for the asymptotic stability of the zero solution are established and estimates characterizing stabilization rates of solutions at infinity are obtained.

Keywords: delay difference equations, asymptotic stability, Lyapunov–Krasovskii functional, estimates for solutions.

UDC: 517.929.4

Received: 30.10.2023
Accepted: 30.11.2023

DOI: 10.25587/2411-9326-2023-4-37-48