Acta mathematica scientia,Series A

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Impulsive Asymptoticity for Impulsive Functional

Differential Equation

Chen Fulai ;Wen Xianzhang   

  1. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081
  • Received:2003-11-09 Revised:2004-12-20 Online:2006-04-25 Published:2006-04-25
  • Contact: Chen Fulai

Abstract: In this paper, sufficient conditions are given for impulsive
functional differential asymptotic stability of impulsive
functional differential equation of the form
$$\left\{\begin{array}{ll}
x,(t)=f(t,xt), t≥ t0,
△x=I_k(t,x(t-)), t=tk,k∈ Z+,
and these conditions extend or improve the corresponding ones in [7-9].

Key words: Uniformly asymptotically stable, Impulse, Lyapunov functional

CLC Number: 

  • 34A37
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