二阶延迟微分方程θ-方法的TH-稳定性  

TH-STABILITY OF θ-METHOD FOR SECOND ORDER DELAY DIFFERENTIAL EQUATION

作　　者：徐阳[1] 赵景军[1] 刘明珠[1] 

机构地区：[1]哈尔滨工业大学数学系,哈尔滨150001

出　　处：《计算数学》2004年第2期189-192,共4页Mathematica Numerica Sinica

摘　　要：This paper is concerned with the TH-stability of second order delay differential equation. A sufficient condition such that the system is asymptotically stable is derived. Furthermore, a sufficient condition is obtained for the hnear θ-method to be TH-stable. Finally, the plot of stability region for the particular case is presented.This paper is concerned with the TH-stability of second order delay differential equation. A sufficient condition such that the system is asymptotically stable is derived. Furthermore, a sufficient condition is obtained for the linear 0-method to be TH-stable. Finally, the plot of stability region for the particular case is presented.

关 键 词：延迟微分方程 渐近稳定性 数值方法 构造 

分 类 号：O241[理学—计算数学]