Estimates of solutions to a class of systems of nonlinear delay differential equations

被引：0

作者：

Matveeva I.I. ^{[1
,2
]}

机构：

[1] Sobolev Institute of Mathematics, pr. Akad. Koptyuga 4, Novosibirsk

[2] Novosibirsk State University, ul. Pirogova 2, Novosibirsk

来源：

Journal of Applied and Industrial Mathematics | 2013年 / 7卷 / 4期

基金：

俄罗斯基础研究基金会;

关键词：

asymptotic stability; attraction set; delay differential equations; estimates of solutions; Lyapunov-Krasovskii functional; periodic coefficients;

D O I：

10.1134/S1990478913040108

中图分类号：

学科分类号：

摘要：

Under study are the systems of nonlinear delay differential equations with periodic coefficients of the linear terms. Some sufficient conditions for the asymptotic stability of the zero solution are established. We obtain the estimates that characterize the decay rate of solutions at infinity and describe the attraction sets of the zero solution. © 2013 Pleiades Publishing, Ltd.

引用

页码：557 / 566

页数：9

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