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  • 标题:Integral Φ0-Stability of Impulsive Differential Equations
  • 本地全文:下载
  • 作者:Anju Sood ; Sanjay K. Srivastava
  • 期刊名称:Open Journal of Applied Sciences
  • 印刷版ISSN:2165-3917
  • 电子版ISSN:2165-3925
  • 出版年度:2015
  • 卷号:05
  • 期号:10
  • 页码:651-660
  • DOI:10.4236/ojapps.2015.510064
  • 语种:English
  • 出版社:Scientific Research Publishing
  • 摘要:In this paper, the notions of integral Φ0-stability of ordinary impulsive differential equations are introduced. The definition of integral Φ0-stability depends significantly on the fixed time impulses. Sufficient conditions for integral Φ0-stability are obtained by using comparison principle and piecewise continuous cone valued Lyapunov functions. A new comparison lemma, connecting the solutions of given impulsive differential system to the solution of a vector valued impulsive differential system is also established.
  • 关键词:Integral Φ0-Stability;Cone Valued Lyapunov Functions;Impulsive Differential Equations;Fixed Time Impulses
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