MDDEs隐式Euler法的非线性稳定性  

Nonlinear stability of implicit Euler method for MDDEs

作　　者：余越昕[1] 

机构地区：[1]湘潭大学数学系,湖南湘潭411105

出　　处：《湘潭师范学院学报（自然科学版）》2003年第3期1-4,共4页Journal of Xiangtan Normal University (Natural Science Edition)

基　　金：国家自然科学基金资助项目 (10 2 7110 0 ) ;湖南省教育厅资助科研项目

摘　　要：讨论隐式Euler法关于多变延迟微分方程 (MDDEs)的非线性稳定性。我们证明 ,在MDDEs的解是稳定或渐近稳定的条件下 。This paper is concerned with the nonlinear stability of implicit Euler method for multidelay differential equations (MDDEs) with several variable delays. We proved that the numerical solutions of implicit Euler method for MDDEs are numerically stable or asymptotically stable when the condition that the analytical solutions of MDDEs are stable or asymptotically stable hold.

关 键 词：延迟微分方程 隐式EULER法 数值稳定性 渐近稳定性 非线性稳定性 

分 类 号：O175.14[理学—数学]