ESTIMATES FOR SOLUTIONS OF ONE CLASS TO SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS WITH DISTRIBUTED DELAY

被引：0

作者：

Yskak, T. ^{[1
,2
]}

机构：

[1] Sobolev Inst Math, 4 Koptyuga Ave, Novosibirsk 630090, Russia

[2] Novosibirsk State Univ, 1 Pirogova Str, Novosibirsk 630090, Russia

来源：

SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA | 2020年 / 17卷

关键词：

exponential stability; Lyapunov - Krasovskii functional; nonlinear equation; distributed delay; periodic coefficients; perturbations in linear terms; NEUTRAL-TYPE; PERIODIC COEFFICIENTS; STABILITY;

D O I：

10.33048/semi.2020.17.146

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper we consider a system of nonlinear differential equations with distributed delay and periodic coefficients in linear terms. Sufficient conditions for exponential stability of the zero solution are established, estimates that characterize the rate of decay of solutions at infinity are obtained, and attraction sets of the zero solution are indicated. Similar results are obtained in the case of small perturbations in linear terms.

引用

页码：2204 / 2215

页数：12

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