This article is cited in 29 papers

Estimates for solutions to one class of nonlinear delay differential equations

I. I. Matveeva<sup>ab

a</sup> Sobolev Institute of Mathematics SD RAS, 4 Koptyug av., 630090 Novosibirsk
^b Novosibirk State University, Pirogova st., 2, 630090 Novosibirsk

Abstract: We consider systems of nonlinear delay differential equations with periodic coefficients in the linear terms. Sufficient conditions for the asymptotic stability of the zero solution are established. We obtain estimates characterizing the decay of solutions at infinity and describe the attraction sets for the zero solution.

Keywords: delay differential equations, periodic coefficients, asymptotic stability, Lyapunov–Krasovskii functional, estimates for solutions, attraction set.

UDC: 517.929.4

Received: 22.07.2013

 English version: Journal of Applied and Industrial Mathematics, 2013, 7:4, 557–566

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