| 一阶偏微分方程组的Lipschitz稳定性 |
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| 引用本文： | 耿彦峰,蹇继贵,李圣荣.一阶偏微分方程组的Lipschitz稳定性[J].三峡大学学报(自然科学版),2008,30(5). |
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| 作者姓名： | 耿彦峰 蹇继贵 李圣荣 |
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| 作者单位： | 三峡大学理学院,湖北宜昌,443002 |
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| 摘 要： | 给出了一阶偏微分方程组零解的Lipschitz稳定性的有关概念,进而给出4个Lipschitz稳定性的判别准则,最后给出两个相关的例子来说明本文的结果.
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| 关 键 词： | 偏微分方程 Lipschitz稳定性 Liapunov函数 |
Lipschitz Stability of First Order Partial Differential Equations |
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| Geng Yanfeng,Jian Jigui,Li Shengrong.Lipschitz Stability of First Order Partial Differential Equations[J].Journal of China Three Gorges University(Natural Sciences),2008,30(5). |
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| Authors: | Geng Yanfeng Jian Jigui Li Shengrong |
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| Institution: | Geng Yanfeng Jian Jigui Li Shengrong (College of Science,China Three Gorges Univ.,Yichang 443002,China) |
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| Abstract: | Several definitions of Lipschitz stability of the first order partial differential equations are introduced.And then four theorems for Lipschitz stability are given as sufficient conditions.Finally,two examples are also given to illustrate the results. |
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| Keywords: | partial differential equation Lipschitz stability Liapunov function |
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