Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations
type: Item
instance of: scholarly article
title: Roughness of tempered exponential dichotomies for infinite-dimensional random difference equations
zbMATH Open document ID: 1304.37034
author: Linfeng Zhou
author: Kening Lu
author: Weinian Zhang
published in: Journal of Differential Equations
publication date: 2013-04-25T00:00:00Z
review text: The authors study the roughness of the tempered exponential dichotomies for linear random dynamical systems in Banach spaces. They prove the roughness without assuming their invertibility and the integrability condition of the multiplicative ergodic theorem. They give an explicit bound for the linear perturbation such that the dichotomy is persistent. They also obtain explicit forms for the exponent and the bound of the tempered exponential dichotomy of the perturbed random system in terms of the original ones and the perturbations.
Mathematics Subject Classification ID: 37H15
Mathematics Subject Classification ID: 34D09
zbMATH DE Number: 6157576
zbMATH Keywords: random dynamical system
zbMATH Keywords: tempered exponential dichotomy
zbMATH Keywords: roughness
zbMATH Keywords: cocycle
MaRDI profile type: Publication
full work available at URL: j.jde.2013.02.007
OpenAlex ID: W2062723339
DOI: 10.1016/J.JDE.2013.02.007
description: scientific article; zbMATH DE number 6157576