Mathematics

Estimates for solutions to one class of nonautonomous systems with time-varying concentrated and distributed delays

I. I. Matveeva

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Novosibirsk

Abstract: We consider a class of nonautonomous systems of differential equations with time-varying concentrated and distributed delays than can be unbounded. Using a Lyapunov-Krasovskii functional, some estimates of solutions are established. The obtained estimates allow us to conclude whether the solutions are stable.

Keywords: time-varying delay systems, variable coefficients, estimates for solutions, stability, Lyapunov–Krasovskii functional.

UDC: 517.929.4

Received: 15.08.2022
Accepted: 31.08.2022

DOI: 10.25587/SVFU.2022.48.62.006