Center manifolds for difference equations-smooth parameter dependence
type: Item
instance of: scholarly article
title: Center manifolds for difference equations-smooth parameter dependence
zbMATH Open document ID: 1202.37026
author: Luís Barreira
author: Claudia Valls
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2010-07-13T00:00:00Z
review text: The authors prove the existence of \(C^{1}\) center manifolds for a class of difference equations of the form \(v_{m+1}=A_{m}v_{m}+f_{m}(v_{m},\lambda)\). They also prove that these center manifolds are also \(C^{1}\) on the parameter \(\lambda\). The class of difference equations is determined by the notion of ``nonuniform exponential trichotomy''.
reviewed by: M. R. Molaei
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37D25
zbMATH DE Number: 5736403
zbMATH Keywords: center manifold
zbMATH Keywords: difference equation
MaRDI profile type: Publication
full work available at URL: j.na.2010.04.012
OpenAlex ID: W2033255818
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DOI: 10.1016/J.NA.2010.04.012
description: scientific article; zbMATH DE number 5736403