TY - JOUR T1 - Stability of Theoretical Solution and Numerical Solution of Nonlinear Differential Equations with Piecewise Delays JO - Journal of Computational Mathematics VL - 4 SP - 393 EP - 400 PY - 2005 DA - 2005/08 SN - 23 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jcm/8825.html KW - Stability, Delay differential equations, Linear multistep methods. AB -
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.