Location results: an under used tool in higher order boundary value problems

Detalhes bibliográficos
Autor(a) principal: Minhós, Feliz
Data de Publicação: 2009
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Texto Completo: http://hdl.handle.net/10174/2495
Resumo: The method of lower and upper solutions provides, as well as residts of existence, other important properties such as location of solution, extremal solutions,..., which have been under used and, moreover, its potential has not been optimized, either in theory either in applications. This work will present some cases to emphasize both items: two fourth order problems with functional boundary conditions (including an application to a continuous model for the deformation of the human spine under the action of some forces) and a third order periodic problem where unbounded nonlinearities are allowed, provided that an one-sided Nagumo-type condition is verified.
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spelling Location results: an under used tool in higher order boundary value problemsNonordered lower and upper solutionsthird order periodic problemsThe method of lower and upper solutions provides, as well as residts of existence, other important properties such as location of solution, extremal solutions,..., which have been under used and, moreover, its potential has not been optimized, either in theory either in applications. This work will present some cases to emphasize both items: two fourth order problems with functional boundary conditions (including an application to a continuous model for the deformation of the human spine under the action of some forces) and a third order periodic problem where unbounded nonlinearities are allowed, provided that an one-sided Nagumo-type condition is verified.2011-01-24T16:50:22Z2011-01-242009-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article407267 bytesapplication/pdfhttp://hdl.handle.net/10174/2495http://hdl.handle.net/10174/2495eng195-206978-0-7354-0660-51124American Institute of Physics Conference Proceedings1124livrefminhos@uevora.pt334Minhós, Felizinfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-01-03T18:39:02Zoai:dspace.uevora.pt:10174/2495Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T11:51:19.867566Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Location results: an under used tool in higher order boundary value problems
title Location results: an under used tool in higher order boundary value problems
spellingShingle Location results: an under used tool in higher order boundary value problems
Minhós, Feliz
Nonordered lower and upper solutions
third order periodic problems
title_short Location results: an under used tool in higher order boundary value problems
title_full Location results: an under used tool in higher order boundary value problems
title_fullStr Location results: an under used tool in higher order boundary value problems
title_full_unstemmed Location results: an under used tool in higher order boundary value problems
title_sort Location results: an under used tool in higher order boundary value problems
author Minhós, Feliz
author_facet Minhós, Feliz
author_role author
dc.contributor.author.fl_str_mv Minhós, Feliz
dc.subject.por.fl_str_mv Nonordered lower and upper solutions
third order periodic problems
topic Nonordered lower and upper solutions
third order periodic problems
description The method of lower and upper solutions provides, as well as residts of existence, other important properties such as location of solution, extremal solutions,..., which have been under used and, moreover, its potential has not been optimized, either in theory either in applications. This work will present some cases to emphasize both items: two fourth order problems with functional boundary conditions (including an application to a continuous model for the deformation of the human spine under the action of some forces) and a third order periodic problem where unbounded nonlinearities are allowed, provided that an one-sided Nagumo-type condition is verified.
publishDate 2009
dc.date.none.fl_str_mv 2009-01-01T00:00:00Z
2011-01-24T16:50:22Z
2011-01-24
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