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  • 标题:Asymptotical stability of Runge-Kutta for a class of impulsive differential equations
  • 本地全文:下载
  • 作者:Gui-Lai Zhang
  • 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:39
  • DOI:10.1186/s13662-015-0740-z
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:The aim of this paper is to study asymptotical stability of Runge-Kutta methods for a class of linear impulsive differential equations with piecewise continuous arguments. New results about the asymptotical stability region of Runge-Kutta methods for these equations are obtained by the theory of the Padé approximation. Finally, some numerical examples are given to illustrate the theoretical results.
  • 关键词:asymptotical stability ; Runge-Kutta methods ; impulsive differential equations ; piecewise constant arguments ; stability region
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