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

共 26 条

[1] Agarwal R.P, 2012, Nonoscillation Theory of Functional Differential Equations with Applications
[2] The Lyapunov functionals method in stability problems for functional differential equations
Andreev, A. S.
[J]. AUTOMATION AND REMOTE CONTROL, 2009, 70 (09) : 1438 - 1486
[3] Azbelev N. V., 2012, SELECTED WORKS
[4] Stability of solutions to delay differential equations with periodic coefficients of linear terms
Demidenko, G. V.
Matveeva, I. I.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2007, 48 (05) : 824 - 836
[5] Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms
Demidenko, G. V.
Matveeva, I. I.
Skvortsova, M. A.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2019, 60 (05) : 828 - 841
[6] On estimates of solutions to systems of differential equations of neutral type with periodic coefficients
Demidenko, G. V.
Matveeva, I. I.
[J]. SIBERIAN MATHEMATICAL JOURNAL, 2014, 55 (05) : 866 - 881
[7] Demidenko GV, 2015, ELECTRON J QUAL THEO, P1
[8] DEMIDENKO GV, 2016, ELECTRON J DIFFER EQ, V2016, P1
[9] Dolgii Yu.F, 1996, STABILITY PERIODIC D
[10] Elsgolts L.E., 1973, INTRO THEORY APPL DI

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