| 无穷时滞泛函微分方程零解的一致渐近稳定性 |
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| 引用本文： | 蒲志林. 无穷时滞泛函微分方程零解的一致渐近稳定性[J]. 四川师范大学学报(自然科学版), 1996, 0(2) |
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| 作者姓名： | 蒲志林 |
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| 作者单位： | 四川师范大学数学系 |
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| 摘 要： | 本文讨论了一类无穷时滞泛函微分方程零解的一致渐近稳定性问题．利用Ｌｙａｐｕｎｏｖ泛函方法得到了相应的充分条件．一些近期文献中的结果得到了改进，并且应用于线性系统时系数可以无界．最后给出了例子同已有结果进行了比较
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| 关 键 词： | 时滞微分方程，Liapunov泛函，一致渐近稳定性 |
ON THE UNIFORM ASYMPTOTIC STABILITY FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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| Pu Zhiling. ON THE UNIFORM ASYMPTOTIC STABILITY FOR FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. Journal of Sichuan Normal University(Natural Science), 1996, 0(2) |
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| Authors: | Pu Zhiling |
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| Abstract: | The uniform asymptotic stability for functional differential equations with infinte delay is studied by using Lyapunov functional methods. A sufficient condition for uniform asymptotic stability is obtained. Some known results in recent literatures are improved and extended. An example is given to illustrate the theory. |
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| Keywords: | Functional differential Equation with infinite delasy. Lyapunov functional Uniform asymptotic stability |
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