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  • 标题:Lipschitz stability of differential equations with non-instantaneous impulses
  • 本地全文:下载
  • 作者:Snezhana Hristova ; Radoslava Terzieva
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:322
  • DOI:10.1186/s13662-016-1045-6
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Nonlinear differential equations with non-instantaneous impulses are studied. The impulses start abruptly at some points and their actions continue on given finite intervals. We pursue the study of Lipschitz stability using Lyapunov functions. Some sufficient conditions for Lipschitz stability, uniform Lipschitz stability, and uniform global Lipschitz stability are obtained. Examples are given to illustrate the results.
  • 关键词:non-instantaneous impulses ; differential equations ; Lipschitz stability
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