非线性中立型延迟积分微分方程隐式Euler方法的收缩性

The Contractivity of Implict Euler Methods for the Nonlinear Systems of Neutral Delay Integral Differential Equations

本文致力于研究非线性中立型延迟积分微分方程隐式Euler方法的收缩性。本文中的Lipschitz数是关于变量t的函数,而不是常数,最终能得到其数值解的结果是收缩的。

This paper is concerned with the contractivity of implict Euler methods for the nonlinear systems of neutral delay integral differential equations（NDIDES）.The Lipschitz number of this article is a function of t on the variable,not constant.For nonlinear neutral delay differential equation,the final result can be contract.