Global Lipschitz invariant center manifolds for ODEs with generalized trichotomies

Global Lipschitz invariant center manifolds for ODEs with generalized trichotomies

In a Banach space, assuming that a linear nonautonomous differential equation $v'=A(t)v$ admits a very general type of trichotomy, we establish conditions for the existence of global Lipschitz invariant center manifold of the perturbed equation $v'=A(t)v+f(t,v)$. Our results not only impro...

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Bibliographic Details
Main Authors: António Bento, Cristina Costa
Format: Article
Language:English
Published: University of Szeged 2017-12-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
generalized trichotomies
lipschitz invariant center manifolds
stability theory
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6141

Internet

http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=6141

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