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OALib Journal期刊
ISSN: 2333-9721
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Stability and Boundedness of Neutral Functional Differential Equations with Infinite Delay
具无限时滞中立型泛函微分方程解的稳定性与有界性

Keywords: Neutral differential equations,Infinite delay,Stability,Boundedness,Necessary and sufficient conditions
中立型微分方程
,无限时滞,稳定性,有界性,充要条件

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Abstract:

With the help of the phase space $(C-h,|5|-h)$, sufficient and necessary criterias are established for the uniform stability and uniformly asymptotic stability of solutions to neutral functional differential equations with infinite delay. In addition, the author also prove that the uniformly asymptotic stability of solutions implies the existence of the bounded solutions when the equation satisfies Lipschitz assumption.

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