文献类型：期刊文章

作　　者：王晚生[1] 李寿佛[1]

机构地区：[1]湘潭大学数学系,湖南湘潭411105

出　　处：《计算数学》

年　　份：2004

卷　　号：26

期　　号：3

起止页码：303-314

语　　种：中文

收录情况：BDHX、BDHX2000、CSCD、CSCD2011_2012、INSPEC、JST、MR、ZGKJHX、ZMATH、核心刊

摘　　要：This paper is devoted to the stability analysis of both the true solution and the numerical approximations for nonlinear systems of neutral delay differential equations(NDDEs) of the general form y′(t)=F(t，y(t)，G(t，y(t-τ-(t))，y′(t-τ-(t)))). We first present a sufficient condition on the stability and asymptotic stability of theoretical solution for the nonlinear systems. This work extends the results recently obtained by A.Bellen et al. for the form y′(t)=F(t，y(t)，G(t，y(t-τ-(t))，y′(t-τ-(t)))). Then numerical stability of Runge-Kutta methods for the systems of neutral delay differential equations is also investigated. Several numerical tests listed at the end of this paper to confirm the above theoretical results.

关 键 词：中立型延迟微分方程 Runge—Kutta法  稳定性 非线性NDDEs  理论解

分 类 号：O241.8]