Uniform Asymptotically Stable Set of Delay Differential Equations and its Runge-Kutta Discretization

摘要：

This paper deals with long-tune behavior of numerical solution of delay differential equations. We first establish a sufficient and necessary condition such that the differential equation possesses a uniform asymptotically stable set, and then show that its Runge-Kutta discretization has a uniform asymptotically stable set which approximates that of the underlying equation. One numerical experiment is given to illustrate our result.

关键词： Delay differential equation stable set Runge-Kutta method

作者: Hongjiong Tian

作者单位: Department of Mathematics, Shanghai Normal University,Division of Computational Science, B-Institute of Shanghai Universities,100 Guilin Road, Shanghai 200234,P.R.China

会议类型: 国际会议

会议名称: The Fourth International Workshop on Scientific Computing and Applications(第四届国际科学计算与应用研讨会)

会议地点: 上海

会议语种:英文

页码: 153-159

在线出版日期: 2005-06-20（万方平台首次上网日期，不代表论文的发表时间）