| 时滞微分方程的耗散性及其应用 |
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| 引用本文： | 李兵,裴冀南.时滞微分方程的耗散性及其应用[J].四川大学学报(自然科学版),2005,42(4):683-687. |
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| 作者姓名： | 李兵 裴冀南 |
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| 作者单位： | 四川大学数学学院,成都,610064;重庆教育学院数学系,重庆,400067 |
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| 摘 要： | 讨论了一类Dini导数给出的微分不等式的耗散特性．利用连续Lipschitz算子的测度研究了滞后型微分方程的耗散性．并应用于时滞Hopfield神经网络，获得了其一致耗散性及平衡点全局一致渐近稳定的充分条件．
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| 关 键 词： | 算子测度 耗散 稳定性 微分不等式 |
| 文章编号： | 0490-6756（2005）04-0683-05 |
| 收稿时间： | 2004-11-12 |
| 修稿时间： | 2004-11-12 |
Dissipativity of Differential Equation with Delay and Application |
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| LI Bing,PEI Ji-nan.Dissipativity of Differential Equation with Delay and Application[J].Journal of Sichuan University (Natural Science Edition),2005,42(4):683-687. |
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| Authors: | LI Bing PEI Ji-nan |
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| Abstract: | In this paper, the auhtors discuss the dissipativity of a class of differential inequalities introducing by Dini derivative. Combining with the measure of nonlinear operator, they research the dissipativity of differential equations with delay and give some sufficient conditions for the uniformly dissipativity of Hopfield neural networks with delay. |
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| Keywords: | operate measure uniformly dissipativity stability differential inequality |
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