Stability of Theoretical Solution and Numerical Solution of Nonlinear Differential Equations with Piecewise Delays

Authors

  • Li-Ping Wen & Shou-Fu Li

Keywords:

Stability, Delay differential equations, Linear multistep methods.

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.

Published

2005-08-02

Issue

Section

Articles