Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces

We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied by Majorana (1991). Useful examples of reflexive Banach spaces whose...

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Detalles Bibliográficos
Autores principales: Hassan, Ezzat R., Alhuthali, M. Sh., Al-Ghanmi, M. M.
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/PMC3934605/
https://www.ncbi.nlm.nih.gov/pubmed/24683325
http://dx.doi.org/10.1155/2014/272479
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author Hassan, Ezzat R.
Alhuthali, M. Sh.
Al-Ghanmi, M. M.
author_facet Hassan, Ezzat R.
Alhuthali, M. Sh.
Al-Ghanmi, M. M.
author_sort Hassan, Ezzat R.
collection PubMed
description We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied by Majorana (1991). Useful examples of reflexive Banach spaces whose positive cones have empty interior has been given as well.
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spelling pubmed-39346052014-03-30 Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces Hassan, Ezzat R. Alhuthali, M. Sh. Al-Ghanmi, M. M. ScientificWorldJournal Research Article We consider nonlinear ordinary differential equations in Banach spaces. Uniqueness criterion for the Cauchy problem is given when any of the standard dissipative-type conditions does apply. A similar scalar result has been studied by Majorana (1991). Useful examples of reflexive Banach spaces whose positive cones have empty interior has been given as well. Hindawi Publishing Corporation 2014-02-10 /pmc/articles/PMC3934605/ /pubmed/24683325 http://dx.doi.org/10.1155/2014/272479 Text en Copyright © 2014 Ezzat R. Hassan et al. 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
Hassan, Ezzat R.
Alhuthali, M. Sh.
Al-Ghanmi, M. M.
Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces
title Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces
title_full Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces
title_fullStr Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces
title_full_unstemmed Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces
title_short Generalized Uniqueness Theorem for Ordinary Differential Equations in Banach Spaces
title_sort generalized uniqueness theorem for ordinary differential equations in banach spaces
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3934605/
https://www.ncbi.nlm.nih.gov/pubmed/24683325
http://dx.doi.org/10.1155/2014/272479
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