文章基本信息

标题：Lipschitz stability of differential equations with non-instantaneous impulses
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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