Parameter Dependence of Stable Invariant Manifolds for Delay Differential Equations under (μ,ν)-Dichotomies

Parameter Dependence of Stable Invariant Manifolds for Delay Differential Equations under (μ,ν)-Dichotomies

We obtain the existence of stable invariant manifolds for the nonlinear equation x′=L(t)xt+f(t,xt,λ) provided that the linear delay equation x′=L(t)xt admits a nonuniform (μ,ν)-dichotomy and f is a sufficiently small Lipschitz perturbation. We show that the stable invariant manifolds are dependent o...

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Bibliographic Details
Main Author:	Lijun Pan
Format:	Article
Language:	English
Published:	Hindawi Limited 2014-01-01
Series:	Journal of Mathematics
Online Access:	http://dx.doi.org/10.1155/2014/989526

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