变延迟微分方程隐式Euler法的收缩性(英文)  

Contractivity of Implicit Euler Method for Delay Differential Equations

作　　者：余越昕[1] 李寿佛[1] 

机构地区：[1]湘潭大学数学系,湖南湘潭411105

出　　处：《湘潭大学自然科学学报》2004年第2期112-115,共4页Natural Science Journal of Xiangtan University

基　　金：SupportedbyNaturalScienceFoundationofChina (10 2 7110 0 ) ;FoundationofEducationCommiteeofHunan .

摘　　要：研究隐式Euler法关于变延迟微分方程的收缩性 ,在对延迟量τ(t)的变化不作任何实质性限制的条件下 。This paper discusses the nonlinear stability of implicit Euler method for delay differential equations(DDEs). We establish a sufficient condition for implicit Euler method to be contractive when applied to any given DDEs with a variable delay, where we only require the delay term being a nonnegative continuous function.

关 键 词：变延迟微分方程 隐式EULER法 收缩性 

分 类 号：O241.8[理学—计算数学]