| 多时滞微分方程数值稳定性 |
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| 引用本文： | 王晓佳,蒋威.多时滞微分方程数值稳定性[J].应用数学与计算数学学报,2010,24(1):93-98. |
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| 作者姓名： | 王晓佳 蒋威 |
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| 作者单位： | 1. 合肥工业大学数学学院,合肥,230009
2. 合肥工业大学计算机网络系统研究所,合肥,230009 |
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| 基金项目： | 国家863计划重点项目，国家863计划重点项目，合肥工业大学基金资助项目 |
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| 摘 要： | 考虑了时滞微分方程的初值问题,分析了用线性多步法求解一类滞后型微分系统数值解的稳定性,在一定的Lagrange插值条件下,给出并证明了求解滞后型微分系统的线性多步法数值稳定的充分必要条件.
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| 关 键 词： | 时滞微分方程 渐近稳定性 线性多步法 |
| 收稿时间： | 2008-05-08 |
Numerical Stability of Linear Multistep Methods for Differential Equations with Multiple Delays |
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| Wang Xiaojia,Jiang Wei.Numerical Stability of Linear Multistep Methods for Differential Equations with Multiple Delays[J].Communication on Applied Mathematics and Computation,2010,24(1):93-98. |
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| Authors: | Wang Xiaojia Jiang Wei |
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| Institution: | 1.School of Mathematics, Hefei University of Technology, Hefei 230009, China
2. Institute of Computer Network System, Hefei University of Technology, Hefei 230009, China |
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| Abstract: | This paper is concerned with the asymptotic stability of linear multistep methods for the numerical solution
of Differential Equations with multiple delays. It is demonstrated that linear multistep methods is asymptotic stability if and only if it is A-stability is obtained. |
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| Keywords: | system of delay differential equations asymptotic stability linear multistep methods |
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