ESTIMATES FOR SOLUTIONS TO A CLASS OF NONAUTONOMOUS SYSTEMS OF NEUTRAL TYPE WITH UNBOUNDED DELAY

被引：6

作者：

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

机构：

[1] Sobolev Inst Math, Novosibirsk, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2021年 / 62卷 / 03期

基金：

俄罗斯基础研究基金会;

关键词：

differential equation of neutral type; variable coefficients; estimates for solutions; stability; Lyapunov-Krasovskii functional; DIFFERENTIAL-EQUATIONS; EXPONENTIAL STABILITY; PERIODIC COEFFICIENTS;

D O I：

10.1134/S0037446621030101

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Under consideration is the class of nonlinear systems of nonautonomous differential equations of neutral type with a variable delay that can be unbounded. Using a Lyapunov-Krasovskii functional, we establish some estimates of solutions that allow us to conclude whether the solutions are stable. In the case of exponential and asymptotic stability, we estimate the attraction domains and the rate of stabilization of solutions at infinity.

引用

页码：468 / 481

页数：14

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