Stability Of Theoretical Solution And Numerical Solution Of Nonlinear Differential Equations With Piecewise Delays
Li-ping Wen 1, Shou-fu Li 11 School of Mathematics and Computational Science, Xiangtan University, Xiangtan 411105, China
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.