Stability theorem for delay differential equations with impulses

被引:66
作者
Yu, JS [1 ]
Zhang, BG [1 ]
机构
[1] OCEAN UNIV QINGDAO,DEPT APPL MATH,QINGDAO 266003,PEOPLES R CHINA
基金
中国国家自然科学基金;
关键词
D O I
10.1006/jmaa.1996.0134
中图分类号
O29 [应用数学];
学科分类号
070104 [应用数学];
摘要
In this paper we obtain sufficient conditions for the stability of the zero solution of the delay differential equation with impulses x'(t) = f(t, x(t - tau)), t greater than or equal to t(o), t not equal t(k) x(t(k)(+)) - x(t(k)) = I-k(x(t(k))), k is an element of N. (C) 1996 Academic Press, Inc.
引用
收藏
页码:162 / 175
页数:14
相关论文
共 8 条
[1]
THE PERSISTENCE OF NONOSCILLATORY SOLUTIONS OF DELAY-DIFFERENTIAL EQUATIONS UNDER IMPULSIVE PERTURBATIONS [J].
CHEN, MP ;
YU, JS ;
SHEN, JH .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1994, 27 (08) :1-6
[2]
ON DELAY DIFFERENTIAL-EQUATIONS WITH IMPULSES [J].
GOPALSAMY, K ;
ZHANG, BG .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1989, 139 (01) :110-122
[3]
Gopalsamy K., 2013, Stability and Oscillations in Delay Differential Equations of Population Dynamics, V74
[4]
Lakshmikantham V., 1993, STABILITY ANAL TERMS, DOI 10.1142/2018
[5]
Simeonov P, 1989, Stability Theory of Differential Equations with Impulsive Effect: Theory and Applications
[6]
SO JWH, IN PRESS FUNKCIAL EK
[8]
GLOBAL ATTRACTIVITY IN THE DELAY LOGISTIC EQUATION WITH VARIABLE PARAMETERS [J].
ZHANG, BG ;
GOPALSAMY, K .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1990, 107 :579-590