Higher order functional boundary value problems: existence and location results

Detalhes bibliográficos
Autor(a) principal: Minhós, Feliz
Data de Publicação: 2010
Outros Autores: Graef, John, Kong, Lingju
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/2508
Resumo: This paper considers a nth-order phi-laplacian differential equation with functional boundary conditions satisfying certain monotonicity assumptions. We present sufficient conditions on the nonlinearity and the boundary conditions to ensure the existence of solutions. Moreover, from the lower and upper solutions method, some information is given about the location of the solution and its qualitative properties. Due to the functional dependence in the boundary conditions, this work generalizes several results for higher order problems with many types of boundary conditions. The main results are illustrated with examples.
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spelling Higher order functional boundary value problems: existence and location resultsPhi-LaplacianFunctional boundary conditionsThis paper considers a nth-order phi-laplacian differential equation with functional boundary conditions satisfying certain monotonicity assumptions. We present sufficient conditions on the nonlinearity and the boundary conditions to ensure the existence of solutions. Moreover, from the lower and upper solutions method, some information is given about the location of the solution and its qualitative properties. Due to the functional dependence in the boundary conditions, this work generalizes several results for higher order problems with many types of boundary conditions. The main results are illustrated with examples.University of Szeged, Hungary2011-01-25T17:36:23Z2011-01-252010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article162419 bytesapplication/pdfhttp://hdl.handle.net/10174/2508http://hdl.handle.net/10174/2508engPag.16Acta Scientiarum Mathematicarumlivrefminhos@uevora.ptjohn-graef@utc.edulingju-kong@utc.eduACTA SCIENTIARUM MATHEMATICARUM334Minhós, FelizGraef, JohnKong, Lingjuinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:39:03Zoai:dspace.uevora.pt:10174/2508Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:58:12.698464Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Higher order functional boundary value problems: existence and location results
title Higher order functional boundary value problems: existence and location results
spellingShingle Higher order functional boundary value problems: existence and location results
Minhós, Feliz
Phi-Laplacian
Functional boundary conditions
title_short Higher order functional boundary value problems: existence and location results
title_full Higher order functional boundary value problems: existence and location results
title_fullStr Higher order functional boundary value problems: existence and location results
title_full_unstemmed Higher order functional boundary value problems: existence and location results
title_sort Higher order functional boundary value problems: existence and location results
author Minhós, Feliz
author_facet Minhós, Feliz
Graef, John
Kong, Lingju
author_role author
author2 Graef, John
Kong, Lingju
author2_role author
author
dc.contributor.author.fl_str_mv Minhós, Feliz
Graef, John
Kong, Lingju
dc.subject.por.fl_str_mv Phi-Laplacian
Functional boundary conditions
topic Phi-Laplacian
Functional boundary conditions
description This paper considers a nth-order phi-laplacian differential equation with functional boundary conditions satisfying certain monotonicity assumptions. We present sufficient conditions on the nonlinearity and the boundary conditions to ensure the existence of solutions. Moreover, from the lower and upper solutions method, some information is given about the location of the solution and its qualitative properties. Due to the functional dependence in the boundary conditions, this work generalizes several results for higher order problems with many types of boundary conditions. The main results are illustrated with examples.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01T00:00:00Z
2011-01-25T17:36:23Z
2011-01-25
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/2508
http://hdl.handle.net/10174/2508
url http://hdl.handle.net/10174/2508
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pag.16
Acta Scientiarum Mathematicarum
livre
fminhos@uevora.pt
john-graef@utc.edu
lingju-kong@utc.edu
ACTA SCIENTIARUM MATHEMATICARUM
334
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eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv University of Szeged, Hungary
publisher.none.fl_str_mv University of Szeged, Hungary
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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