A smoothness theorem for invariant fiber bundles
type: Item
instance of: scholarly article
title: A smoothness theorem for invariant fiber bundles
zbMATH Open document ID: 1037.37013
DOI: 10.1023/A:1016383031231
author: S. Siegmund
author: Bernd Aulbach
author: Christian Pötzsche
published in: Journal of Dynamics and Differential Equations
publication date: 2002-10-08T00:00:00Z
review text: The authors present an existence and smoothness theorem for invariant fiber bundles. The theorem generalizes known results on invariant manifolds in several respects, as it covers the non-invertible, infinite dimensional, time-dependent case within the discrete setting. The smoothness part of the paper is thoroughly based on a technically involved application of a Banach scale fixed-point theorem.
reviewed by: Stefan Hilger
Mathematics Subject Classification ID: 37D10
Mathematics Subject Classification ID: 37C60
Mathematics Subject Classification ID: 39A05
zbMATH DE Number: 1812508
zbMATH Keywords: invariant fiber bundles
zbMATH Keywords: smoothness
zbMATH Keywords: difference equations
zbMATH Keywords: Hadamard-Perron theorem
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1812508