非线性变延迟微分方程隐式Euler法的渐近稳定性  

Asymptotic Stability of Implicit Euler Method for Nonlinear 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,湘潭411105

出　　处：《数学理论与应用》2004年第1期13-16,共4页Mathematical Theory and Applications

摘　　要：本文讨论非线性变延迟微分方程隐式 Euler法的渐近稳定性。我们证明 ,在方程真解渐近稳定的条件下 ,隐式 Euler法也是渐近稳定的。This paper is concerned with the asymptotic stability of implicit Euler method for delay differential equations(DDEs) with a variable delay.We prove that implicit Euler method is asymptotically stable when the condition that the analytical solutions of DDEs are asymptotically stable hold.

关 键 词：非线性变延迟微分方程 隐式EULER法 渐近稳定性 数值计算 初值问题 差分方程 

分 类 号：O175[理学—数学]