Trichotomy for Dynamical Systems in Banach Spaces

We construct a framework for the study of dynamical systems that describe phenomena from physics and engineering in infinite dimensions and whose state evolution is set out by skew-evolution semiflows. Therefore, we introduce the concept of ω-trichotomy. Characterizations in a uniform setting are pr...

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Detalles Bibliográficos
Autor principal: Stoica, Codruţa
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2013
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3804451/
https://www.ncbi.nlm.nih.gov/pubmed/24223509
http://dx.doi.org/10.1155/2013/793813
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author Stoica, Codruţa
author_facet Stoica, Codruţa
author_sort Stoica, Codruţa
collection PubMed
description We construct a framework for the study of dynamical systems that describe phenomena from physics and engineering in infinite dimensions and whose state evolution is set out by skew-evolution semiflows. Therefore, we introduce the concept of ω-trichotomy. Characterizations in a uniform setting are proved, using techniques from the domain of nonautonomous evolution equations with unbounded coefficients, and connections with the classic notion of trichotomy are given. The statements are sustained by several examples.
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spelling pubmed-38044512013-11-10 Trichotomy for Dynamical Systems in Banach Spaces Stoica, Codruţa ScientificWorldJournal Research Article We construct a framework for the study of dynamical systems that describe phenomena from physics and engineering in infinite dimensions and whose state evolution is set out by skew-evolution semiflows. Therefore, we introduce the concept of ω-trichotomy. Characterizations in a uniform setting are proved, using techniques from the domain of nonautonomous evolution equations with unbounded coefficients, and connections with the classic notion of trichotomy are given. The statements are sustained by several examples. Hindawi Publishing Corporation 2013-09-29 /pmc/articles/PMC3804451/ /pubmed/24223509 http://dx.doi.org/10.1155/2013/793813 Text en Copyright © 2013 Codruţa Stoica. 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
Stoica, Codruţa
Trichotomy for Dynamical Systems in Banach Spaces
title Trichotomy for Dynamical Systems in Banach Spaces
title_full Trichotomy for Dynamical Systems in Banach Spaces
title_fullStr Trichotomy for Dynamical Systems in Banach Spaces
title_full_unstemmed Trichotomy for Dynamical Systems in Banach Spaces
title_short Trichotomy for Dynamical Systems in Banach Spaces
title_sort trichotomy for dynamical systems in banach spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3804451/
https://www.ncbi.nlm.nih.gov/pubmed/24223509
http://dx.doi.org/10.1155/2013/793813
work_keys_str_mv AT stoicacodruta trichotomyfordynamicalsystemsinbanachspaces

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