Stability of the analytic and numerical solutions for impulsive differential equations

被引：18

作者：

Liang, Hui ^{[1
]}

Song, M. H. ^{[1
]}

Liu, M. Z. ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

来源：

APPLIED NUMERICAL MATHEMATICS | 2011年 / 61卷 / 11期

关键词：

Impulsive differential equations; theta-Methods; Stability;

D O I：

10.1016/j.apnum.2010.12.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the stability analysis of the analytic and numerical solutions of impulsive differential equations. In particular, the linear equation with variable coefficients and the nonlinear equation are considered. The stability conditions of the analytic solutions of these impulsive differential equations and the numerical solutions of the theta-methods are obtained. Finally, some numerical experiments are given. (C) 2010 Published by Elsevier B.V. on behalf of IMACS.

引用

页码：1103 / 1113

页数：11

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