广西科技大学学报2018,Vol.29Issue(1):14-19,6.DOI:10.16375/j.cnki.cn45-1395/t.2018.01.003
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
摘要
Abstract
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Key words
neutral delay differential equations/linear multi-step methods/G(c/p/0)-algebraically stable/asymptotic stability分类
数理科学引用本文复制引用
孙立强,田献珍..非线性中立型时滞微分方程线性多步法的渐近稳定性[J].广西科技大学学报,2018,29(1):14-19,6.基金项目
广西高校中青年教师基础能力提升项目(KY2016YB846)资助. (KY2016YB846)