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数学物理学报(A辑) 2005
Stability and Boundedness of Neutral Functional Differential Equations with Infinite Delay
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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.