| RFDE的一致Lipschitz稳定性 |
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| 引用本文： | 申建华.RFDE的一致Lipschitz稳定性[J].怀化学院学报,1992(6). |
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| 作者姓名： | 申建华 |
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| 作者单位： | 中南工业大学 校友 |
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| 摘 要： | 本文将Dannan F M.和Elaydi S.1,2]提出的常微分方程(ODE)的一致lipschitz稳定性概念拓广到滞后型泛函微分方程(RFDE),对一般线性RGDE,我们证明了一致lipschitz稳定与一致稳定是等价的;对一般非线性RFDE,利用liapunov泛函方法,建立了一致lipschitz稳定性必要或充分条件。
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| 关 键 词： | RFDE 一致lipschitz稳定 liapunor泛函 |
Lipsctitz Stability for Retarded Functional Differential Equations |
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| Shen Jianhua.Lipsctitz Stability for Retarded Functional Differential Equations[J].Journal of Huaihua University,1992(6). |
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| Authors: | Shen Jianhua |
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| Institution: | Central South Universoty of Technology |
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| Abstract: | : In this paper we investigate the uniform lipschitz stability of Retarded Functional Differential Equations. The equivalence theorem of uniform slability and uniform lipschitz stability of limear RFDE is obtanied, and sufficient or necessary sonditions for uniform lipschitz stability of nonlinear RFDE are investigated through liapunov's second method . |
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| Keywords: | RFDE uniform lipschitz stability liapunov's second method |
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