求解变延迟微分方程的一类线性多步方法的收缩性  

CONTRACTIVITY OF LINEAR MULTISTEPMETHODS FOR SOLUTION OFDELAY DIFFERENTIAL EQUATIONSWITH VARIABLE DELAYS

作　　者：王晚生[1] 李寿佛[1] 

机构地区：[1]湘潭大学数学系,湘潭411105

出　　处：《高等学校计算数学学报》2004年第3期214-221,共8页Numerical Mathematics A Journal of Chinese Universities

摘　　要：1引言 设<·,·>为空间CN中的内积,‖·‖是由该内积导出的范数.考虑下列N维非线性多变延迟微分方程(MDDEs)系统:This paper presents a sufficierit condition on the contractivity of theo-retical solution for a class of nonlinear systems of delay differerltial equations with many variable delays(MDDEs), which is weak,compared with the sufficient condition of previous articles.In addition,it discusses the numerical stability properties of a class of special linear multistep methods for this class nonlinear problems. And it is pointed out that not only the backward Euler method but also this class of linear multistep methods are GRNm-stable if linear interpolation is used.

关 键 词：延迟微分方程 求解 线性 收缩性 方法 

分 类 号：O241[理学—计算数学] O175[理学—数学]