| 多滞量时滞微分方程数值方法的非线性稳定性 |
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| 引用本文： | 文立平.多滞量时滞微分方程数值方法的非线性稳定性[J].湘潭师范学院学报(社会科学版),1998(6). |
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| 作者姓名： | 文立平 |
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| 作者单位： | 湘潭大学数学系!湘潭，411105 |
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| 基金项目： | 国家自然科学基金!19571067 |
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| 摘 要： | 对具有多个滞量的非线性时滞微分方程给出了其理论解渐近稳定的充分条件及数值方法的非线性稳定性概念，证明了隐式Euler方法是所谓NCR2-稳定的。
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| 关 键 词： | 时滞微分方程 渐近稳定性 数值分析 |
TNE NONLINEAR STABILITY OF NUMERICAL METHODS FOR OELAY DIFFERENTIAL EAUATIONS WITN MANY OELAYS |
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| Wen Liping.TNE NONLINEAR STABILITY OF NUMERICAL METHODS FOR OELAY DIFFERENTIAL EAUATIONS WITN MANY OELAYS[J].Journal of Xiangtan Normal University(Social Science Edition),1998(6). |
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| Authors: | Wen Liping |
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| Abstract: | In this paper, a sufficient condition for the asymptotic stability of the theoretical solution of the non linear differential equations with many delays is derived, and new conept of numerical stability is introduced, It is shown that the implicit Euler method is NGR2 - stable. |
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| Keywords: | Delay differential equation Asymptotically stable Numerical analysis |
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