Asymptotic stability properties of θ-methods for delay differential equations  

作　　者：徐阳 赵景军 刘明珠 

出　　处：《Journal of Harbin Institute of Technology(New Series)》2001年第2期140-142,共3页哈尔滨工业大学学报（英文版）

基　　金：theNationalNaturalScienceFoundationofChina (GrantNo .198710 19)

摘　　要：Deals with the asymptotic stability properties of θ methods for the pantograph equation and the linear delay differential algebraic equation with emphasis on the linear θ methods with variable stepsize schemes for the pantograph equation, proves that asymptotic stability is obtained if and only if θ>1/2, and studies further the one leg θ method for the linear delay differential algebraic equation and establishes the sufficient asymptotic ally differential algebraic stable condition θ=1.Deals with the asymptotic stability properties of θ methods for the pantograph equation and the linear delay differential algebraic equation with emphasis on the linear θ methods with variable stepsize schemes for the pantograph equation, proves that asymptotic stability is obtained if and only if θ>1/2, and studies further the one leg θ method for the linear delay differential algebraic equation and establishes the sufficient asymptotic ally differential algebraic stable condition θ=1.

关 键 词：delay differential equations asymptotic stability θ methods 

分 类 号：O241.8[理学—计算数学]