Asymptotical stability of Runge-Kutta for a class of impulsive differential equations

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• 作者：Gui-Lai Zhang
• 关键词：asymptotical stability ; Runge ; Kutta methods ; impulsive differential equations ; piecewise constant arguments ; stability region
• 刊名：Advances in Difference Equations
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：2016
• 期：1
• 全文大小：1,779 KB
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• 作者单位：Gui-Lai Zhang (1)
  
  1. School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, Hebei, 066004, China
  
• 刊物主题：Difference and Functional Equations; Mathematics, general; Analysis; Functional Analysis; Ordinary Differential Equations; Partial Differential Equations;
• 出版者：Springer International Publishing
• ISSN：1687-1847

文摘

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. Keywords asymptotical stability Runge-Kutta methods impulsive differential equations piecewise constant arguments stability region