A new nonlinear impulsive delay differential inequality and its applications

被引：42
|
作者：
Wang, Huali [1 ]
Ding, Changming [1 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2011年
关键词：
Impulsive delay differential inequality; exponential stability; nonlinear functional differential systems; GLOBAL EXPONENTIAL STABILITY; LYAPUNOV-RAZUMIKHIN METHOD; NEURAL-NETWORKS; ASYMPTOTIC STABILITY; EQUATIONS; EXISTENCE; SYSTEMS;
D O I：
10.1186/1029-242X-2011-11
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article, a new nonlinear impulsive delay differential inequality is established, which can be applied in the dynamical analysis of nonlinear systems to improve many extant results. Using the inequality, we obtain some sufficient conditions to guarantee the exponential stability of nonlinear impulsive functional differential equations. Two examples are given to illustrate the effectiveness and advantages of our results.
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页数：8
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