Admissibility for nonuniform \((\mu,v)\) contraction and dichotomy
type: Item
instance of: scholarly article
title: Admissibility for nonuniform \((\mu,v)\) contraction and dichotomy
zbMATH Open document ID: 1267.34107
DOI: 10.1155/2012/741696
author: Yongxin Jiang
author: Fang-Fang Liao
published in: Abstract and Applied Analysis
publication date: 2013-02-04T00:00:00Z
review text: Summary: The relation between the notions of nonuniform asymptotic stability and admissibility is considered. Using appropriate Lyapunov norms, it is shown that, if any of their associated \(\mathcal L^p\) spaces, with \(p \in (1, \infty]\), is admissible for a given evolution process, then this process is a nonuniform \((\mu, v)\)-contraction and dichotomy. A collection of admissible Banach spaces for any given nonuniform \((\mu, v)\)-contraction and dichotomy is provided.
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34D09
Mathematics Subject Classification ID: 34D05
zbMATH DE Number: 6134158
Wikidata QID: Q58696705
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/741696
OpenAlex ID: W1585226294
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description: scientific article; zbMATH DE number 6134158