| 广义时滞微分方程的渐近稳定性和数值分析 |
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| 引用本文： | 王晓佳. 广义时滞微分方程的渐近稳定性和数值分析[J]. 数学理论与应用, 2008, 28(4): 13-16 |
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| 作者姓名： | 王晓佳 |
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| 作者单位： | 合肥工业大学数学系,合肥230009 |
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| 摘 要： | 考虑了广义时滞微分方程的初值问题，分析了用线性多步法求解一类广义滞后型微分系统数值解的稳定性，在一定的Lagrange插值条件下，给出并证明了求解广义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： | 广义时滞微分方程 渐近稳定性 线性多步法 |
Asymptotic Stability and Numerical Analysis for Systems of Singular Differential Delay Equations |
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| Wang Xiaojia. Asymptotic Stability and Numerical Analysis for Systems of Singular Differential Delay Equations[J]. Mathematical Theory and Applications, 2008, 28(4): 13-16 |
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| Authors: | Wang Xiaojia |
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| Affiliation: | Wang Xiaojia(Department of Mathematics of Hefei University of Technology,Hefei,230009) |
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| Abstract: | This paper is concerned with the asymptotic stability of linear multistep methods for the numerical solution of singular delay differential equations.It is proved that linear multistep methods is asymptotic stability if and only if it is A-stability is obtained. |
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| Keywords: | Singular differential delay equations Asymptotic stability Linear multistep methods |
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