| STABILITY OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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| 引用本文： | Dishen Jiabu (The Chinese People's Armed Police Force Academy,Langfang 065000). STABILITY OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. Annals of Differential Equations, 2005, 21(3): 260-263 |
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| 作者姓名： | Dishen Jiabu (The Chinese People's Armed Police Force Academy Langfang 065000) |
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| 作者单位： | The Chinese People's Armed Police Force Academy，Langfang 065000 |
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| 基金项目： | Supported by the National Natural Sciences Foundation of China (No.10171010)the Key Project on Science and Technology of the Education Ministry of China (No.Key 01061). |
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| 摘 要： | In the phase space (Ch, |·|h), by using the Liapunov functional approach, sufficient and necessary criteria for the uniform stability and uniformly asymptotic stability of solutions to neutral-functional differential equations with infinite delay are established. We also prove that the uniformly asymptotic stability of the solutions implies the existence of the bounded ones.
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| 关 键 词： | 中立型泛函微分方程 无限时滞 稳定性 Liapunov函数 有界性 |
STABILITY OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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| Dishen Jiabu. STABILITY OF NEUTRAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. 微分方程年刊(英文版), 2005, 21(3): 260-263 |
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| Authors: | Dishen Jiabu |
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| Abstract: | |
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| Keywords: | neutral functional differential equations infinite delay stability boundedness necessary and sufficient conditions |
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