| 泛函微分方程稳定性理论中的扰动Liapunov泛函 |
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| 引用本文： | 陈伯山.泛函微分方程稳定性理论中的扰动Liapunov泛函[J].湖北师范学院学报(自然科学版),1992(3). |
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| 作者姓名： | 陈伯山 |
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| 摘 要： | 文章提出扰动Liapunov泛函的概念,借助于这种泛函研究泛函微分方程的稳定性,得到了渐近性,渐近稳定性和一致渐近稳定性的简便且广泛的判别定理。
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| 关 键 词： | Liapunov泛函 泛函微分方程 渐近性 渐近稳定性 |
PERTURBED LIAPUNOV FUNCTIONAL ON THE THEORY OF STABILITY FOR FUNCTIONAL EQUATIONS |
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| Chen Boshan.PERTURBED LIAPUNOV FUNCTIONAL ON THE THEORY OF STABILITY FOR FUNCTIONAL EQUATIONS[J].Journal of Hubei Normal University(Natural Science),1992(3). |
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| Authors: | Chen Boshan |
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| Institution: | Hubei Normal University |
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| Abstract: | In this paper,using perturbed Liapunov functional,we study the stability for functional differential equations and obtain some simple and wide results about the asymptotic behaviour and the asymptotic stability. |
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| Keywords: | Liapunov functional Functional differrential equations Asymptotic bchaviour Asymptotic stability |
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