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

Advances in Difference Equations

Gui-Lai Zhang¹ 

[1] School of Mathematics and Statistics, Northeastern University at Qinhuangdao, Qinhuangdao, China

关键词: asymptotical stability;    Runge-Kutta methods;    impulsive differential equations;    piecewise constant arguments;    stability region;   

DOI  :  10.1186/s13662-015-0740-z

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY