非线性中立型时滞微分方程线性多步法的渐近稳定性  

The asymptotic stability of linear multi-step methods for nonlinear neutral delay differential equations

作　　者：孙立强 田献珍[2] SUN Liqiang;TIAN Xianzhen(College of Science,Guangxi University of Science and Technology,Liuzhou545006,China;Lushan College,Guangxi University of Science and Technology,Liuzhou545616,China)

机构地区：[1]广西科技大学理学院,广西柳州545006 [2]广西科技大学鹿山学院基础教学部,广西柳州545616

出　　处：《广西科技大学学报》2018年第1期14-19,共6页Journal of Guangxi University of Science and Technology

基　　金：广西高校中青年教师基础能力提升项目(KY2016YB846)资助

摘　　要：研究线性多步法求解R_(α,β)类非线性中立型时滞微分方程的数值稳定性.在适当条件下,获得了G(c,p,0)—代数稳定的线性多步法的稳定性及渐近稳定性的充分条件.This paper studied the numerical stability of linear multi-step methods for a class Rα,βof nonlinear neutral delay differential equations.Under the suitable conditions,the sufficient conditions of the stability and asymptotic stability of G(c,p,0)-algebraically stable linear multi-step methods were obtained.

关 键 词：中立型时滞微分方程 线性多步法 G(c p 0)-代数稳定 渐近稳定性 

分 类 号：O241.8[理学—计算数学]