RFDE的一致Lipschitz稳定性

Lipsctitz Stability for Retarded Functional Differential Equations

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。

: 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 .