Stability of solutions of monotone systems of impulsive differential equations

被引：0

作者：

A. I. Dvirnyi

V. I. Slyn’ko

机构：

[1] Hedmark University College,Institute of Mechanics

[2] National Academy of Sciences,undefined

来源：

Differential Equations | 2012年 / 48卷

关键词：

Cauchy Problem; Asymptotic Stability; Comparison System; Comparison Principle; Lyapunov Stable;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We obtain sufficient conditions for the stability of solutions of nonlinear systems of impulsive differential equations in a cone. The main tool in our study is the comparison principle suggested in the paper. This approach permits one to study critical cases; it is illustrated by examples of nonlinear systems for which the trivial orbit of the continuous and discrete components is simultaneously unstable.

引用

页码：318 / 327

页数：9

共 50 条

[41] Strict Stability Criteria for Impulsive Functional Differential Systems
Kaien Liu
Guowei Yang
Journal of Inequalities and Applications, 2008
[42] Exponential Stability of Impulsive Stochastic Functional Differential Systems
Wu, Zheng
Huang, Hao
Wang, Lianglong
ABSTRACT AND APPLIED ANALYSIS, 2012,
[43] On stability of systems of delay differential equations
Cahlon, B
Schmidt, D
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2000, 117 (02) : 137 - 158
[44] Asymptotic stability of solutions delay differential equations
Peng, YH
DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 859 - 866
[45] Stability of solutions to differential equations of neutral type
Demidenko G.V.
Kotova T.V.
Skvortsova M.A.
Journal of Mathematical Sciences, 2012, 186 (3) : 394 - 406
[46] STABILITY OF IMPULSIVE STOCHASTIC NEUTRAL PARTIAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS
Jiang, Feng
Shen, Yi
ASIAN JOURNAL OF CONTROL, 2012, 14 (06) : 1706 - 1709
[47] The analytic and numerical stability of stiff impulsive differential equations in Banach space
Wen, Liping
Yu, Yuexin
APPLIED MATHEMATICS LETTERS, 2011, 24 (10) : 1751 - 1757
[48] Stability of a Class of Impulsive Neutral Stochastic Functional Partial Differential Equations
Liu, Yue
Ruan, Dehao
DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2020, 2020
[49] Global exponential stability of a class of retarded impulsive differential equations with applications
Xia, Yonghui
Wong, Patricia J. Y.
CHAOS SOLITONS & FRACTALS, 2009, 39 (01) : 440 - 453
[50] MITTAG-LEFFLER STABILITY OF IMPULSIVE DIFFERENTIAL EQUATIONS OF FRACTIONAL ORDER
Stamova, Ivanka M.
QUARTERLY OF APPLIED MATHEMATICS, 2015, 73 (03) : 525 - 535

← 1 2 3 4 5 →