I. I. Matveeva, “Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients”, Zh. Vychisl. Mat. Mat. Fiz., 2020, Volume 60, Number 4,Pages <nobr>612

This article is cited in 18 papers

Estimates for exponential decay of solutions to one class of nonlinear systems of neutral type with periodic coefficients

I. I. Matveeva^ab

^a Sobolev Institute of Mathematics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090 Russia
^b Novosibirsk State University, Novosibirsk, 630090 Russia

Abstract: The class of nonlinear systems of delay differential equations with periodic coefficients in linear terms is considered. By using a special class of Lyapunov–Krasovskii functionals, conditions for the exponential stability of the zero solution are indicated and estimates characterizing the rate of exponential decay of solutions at infinity are obtained.

Key words: systems of neutral type, exponential stability, estimates of solutions, Lyapunov–Krasovskii functional.

UDC: 517.929.4

Received: 14.11.2019
Revised: 14.11.2019
Accepted: 16.12.2019

DOI: 10.31857/S0044466920040122