Asymptotical stability of Runge-Kutta methods for nonlinear impulsive differential equations

被引：4
作者：
Zhang, Gui-Lai [1 ]
机构：
[1] Northeastern Univ Qinhuangdao, Sch Math & Stat, Qinhuangdao, Hebei, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Impulsive differential equation; Runge-Kutta method; Lipschitz condition; Asymptotical stability; NUMERICAL-SOLUTION; CONVERGENCE; PLUS;
D O I：
10.1186/s13662-019-2473-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, asymptotical stability of the exact solutions of nonlinear impulsive ordinary differential equations is studied under Lipschitz conditions. Under these conditions, asymptotical stability of Runge-Kutta methods is studied by the theory of Pade approximation. And two simple examples are given to illustrate the conclusions.
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页数：12
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