| 时滞泛函微分方程的稳定性定理 |
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| 引用本文： | 孟荣焕,朱忠华,李晋秀,高国柱.时滞泛函微分方程的稳定性定理[J].东华大学学报(自然科学版),2007,33(4):440-445. |
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| 作者姓名： | 孟荣焕 朱忠华 李晋秀 高国柱 |
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| 作者单位： | 东华大学,理学院,上海,201620 |
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| 摘 要： | 用Liapunov方法研究时滞泛函微分方程系统的稳定性，得到了系统的渐近稳定性定理、一致渐近稳定性定理及全局渐近稳定性定理，而不要求Liapunov泛函正定，也不要求其沿系统的解的导数负定．
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| 关 键 词： | 时滞泛函微分方程系统 Liapunov泛函 渐近稳定 |
| 文章编号： | 1671-0444（2007）04-0440-06 |
| 修稿时间： | 2006-04-10 |
The Stability Theorems of Retarded Functional Differential Equations |
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| MENG Rong-huan,ZHU Zhong-hua,LI Jin-xiu,GAO Guo-zhu.The Stability Theorems of Retarded Functional Differential Equations[J].Journal of Donghua University,2007,33(4):440-445. |
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| Authors: | MENG Rong-huan ZHU Zhong-hua LI Jin-xiu GAO Guo-zhu |
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| Institution: | College of Basic Science, Donghua Univesity, Shanghai 201620, China |
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| Abstract: | The paper deals with stability for retarded functional differential equations systems, we can get the uniformly asymptotically stability theorem and the global asymptotically stability theorem, by using I.iapunov functional equations that is not positive definite, and the derivative of Liapunov functional equations which depending on retarded functional differential equations systems is also not negative definite. |
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| Keywords: | retarded functional differential equations systems Liapunov functional equations asymptotic stability |
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