Invariant manifolds for difference equations with generalized trichotomies
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Published:2022-07-26
Issue:3
Volume:38
Page:817-835
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ISSN:1584-2851
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Container-title:Carpathian Journal of Mathematics
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language:
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Short-container-title:CJM
Author:
BENTO ANTÓNIO J. G., ,
Abstract
On an arbitrary Banach space, assuming that a linear nonautonomous difference equation \linebreak $x_{m+1} = A_m x_m$ admits a very general type of trichotomy, we establish conditions for the existence of global Lipschitz invariant center manifolds of the perturbed equation $x_{m+1} = A_m x_m + f_m(x_m)$. Our results not only improve results already existing in the literature, but also include new cases.
Publisher
Technical University of Cluj Napoca, North University Center of Baia Mare
Subject
General Mathematics