J. Comp. Math., 23 (2005), pp. 393-400.


Stability Of Theoretical Solution And Numerical Solution Of Nonlinear Differential Equations With Piecewise Delays

Li-ping Wen 1, Shou-fu Li 1

1 School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China

Abstract

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.

Key words: Stability; Delay differential equations; Linear multistep methods.

 

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