Roughness of (ℤ (+), ℤ (−))-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces

In this paper we study the roughness of (ℤ (+), ℤ (−))-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the perturbed equation in terms of the original ones....

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Detalles Bibliográficos
Autor principal: Lupa, Nicolae
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3921951/
https://www.ncbi.nlm.nih.gov/pubmed/24592188
http://dx.doi.org/10.1155/2014/819046
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author Lupa, Nicolae
author_facet Lupa, Nicolae
author_sort Lupa, Nicolae
collection PubMed
description In this paper we study the roughness of (ℤ (+), ℤ (−))-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the perturbed equation in terms of the original ones. We emphasize that we do not assume any boundedness condition on the coefficients.
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spelling pubmed-39219512014-03-03 Roughness of (ℤ (+), ℤ (−))-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces Lupa, Nicolae ScientificWorldJournal Research Article In this paper we study the roughness of (ℤ (+), ℤ (−))-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces. An explicit form is given for each of the dichotomy constants of the perturbed equation in terms of the original ones. We emphasize that we do not assume any boundedness condition on the coefficients. Hindawi Publishing Corporation 2014-01-23 /pmc/articles/PMC3921951/ /pubmed/24592188 http://dx.doi.org/10.1155/2014/819046 Text en Copyright © 2014 Nicolae Lupa. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Lupa, Nicolae
Roughness of (ℤ (+), ℤ (−))-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces
title Roughness of (ℤ (+), ℤ (−))-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces
title_full Roughness of (ℤ (+), ℤ (−))-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces
title_fullStr Roughness of (ℤ (+), ℤ (−))-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces
title_full_unstemmed Roughness of (ℤ (+), ℤ (−))-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces
title_short Roughness of (ℤ (+), ℤ (−))-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces
title_sort roughness of (ℤ (+), ℤ (−))-nonuniform exponential dichotomy for difference equations in banach spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3921951/
https://www.ncbi.nlm.nih.gov/pubmed/24592188
http://dx.doi.org/10.1155/2014/819046
work_keys_str_mv AT lupanicolae roughnessofzznonuniformexponentialdichotomyfordifferenceequationsinbanachspaces

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