STABILITY OF THEORETICAL SOLUTION AND NUMERICAL SOLUTION OF NONLINEAR DIFFERENTIAL EQUATIONS WITH PIECEWISE DELAYS  

作　　者：Li-ping Wen Shou-fu Li 

机构地区：[1]School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

出　　处：《Journal of Computational Mathematics》2005年第4期393-400,共8页计算数学（英文）

摘　　要：This paper is concerned with the stability of theoretical solution and numerical solution of a class of nonlinear differential equations with piecewise delays. At first, a sufficient condition for the stability of theoretical solution of these problems is given, then numerical stability and asymptotical stability are discussed for a class of multistep methods when applied to these problems.This paper is concerned with the stability of theoretical solution and numerical solution of a class of nonlinear differential equations with piecewise delays. At first, a sufficient condition for the stability of theoretical solution of these problems is given, then numerical stability and asymptotical stability are discussed for a class of multistep methods when applied to these problems.

关 键 词：STABILITY Delay differential equations Linear multistep methods 

分 类 号：O175[理学—数学]