非线性广义变延迟方程稳定性分析(英文)  

Analytical and numerical stability analysis of nonlinear generalized delay differential equations with variable delay terms

作　　者：蒋成香[1] 

机构地区：[1]上海师范大学天华学院,上海201815

出　　处：《上海师范大学学报（自然科学版）》2013年第3期221-226,共6页Journal of Shanghai Normal University(Natural Sciences)

基　　金：Supported by Shanghai Municipal Education Commission(thc11013)

摘　　要：主要讨论了非线性广义变延迟方程的稳定性.首先讨论了基于模型方程理论解渐近稳定的条件,其次研究了Runge-Kutta方法求解方程数值解的GAR(l)-稳定性,最后的数值算例验证了理论结果的正确性.This paper deals with nonlinear stability analysis of both analytical solutions and numeri- cal approximations to nonlinear systems of generalized delay differential equations with variable delay terms. First, a sufficient condition for the asymptotieal stability of the theoretical solution is dis- cussed. Then, we investigate the GAR （l）-numerical stability of Runge - Kutta methods for systems of generalized delay differential equations with a variable lag, numerical test confirms our theoretical re- sults.

关 键 词：非线性广义变延迟微分方程 Runge—Kutta方法 GAR(l)-稳定 

分 类 号：O241.81[理学—计算数学]