Acta mathematica scientia,Series A ›› 2005, Vol. 25 ›› Issue (6): 777-783.

• Articles • Previous Articles     Next Articles

Stability of Impulsive Differential Equations with Impulses at Variable Times

 ZHANG Yu, WANG Chun-Yan, SUN Ji-Chao   

  • Online:2005-12-24 Published:2005-12-24
  • Supported by:

    国家自然科学基金(60474008)和上海市自然科学基金(03ZR14095)资助

Abstract:

This paper considers stability of the zero solution of impulsive differential equations with impulses at variable times. By means of Lyapunov functions and Razu mikhin techniques, some sufficient conditions of uniform stability and uniform asymptotic stability for differential equation with impulses at variable  times are obtained.

Key words: Impulsive differential equation;Uniform stability;Uniform asymptotic stabil ity, Lyapunov function; Razumikhin technique

CLC Number: 

  • 34A37
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