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.
出处
《湘潭大学自然科学学报》
CAS
CSCD
2004年第2期112-115,共4页
Natural Science Journal of Xiangtan University
基金
SupportedbyNaturalScienceFoundationofChina (10 2 7110 0 )
FoundationofEducationCommiteeofHunan .
关键词
变延迟微分方程
隐式EULER法
收缩性
delay differential equations, implicit Euler method, contractivity
