Unbounded solutions for functional problems on the half-line

Detalhes bibliográficos
Autor(a) principal: Carrasco, Hugo
Data de Publicação: 2016
Outros Autores: Minhós, Feliz
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/19843
https://doi.org/10.1155/2016/8987374
Resumo: This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green's functions and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results.
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spelling Unbounded solutions for functional problems on the half-lineUnbounded solutionsHalf-lineupper lower solutionsGreen's functionfixed point theoryThis paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green's functions and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results.Hindawi Publishing Corporation2017-01-19T12:37:58Z2017-01-192016-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/19843http://hdl.handle.net/10174/19843https://doi.org/10.1155/2016/8987374engHugo Carrasco and Feliz Minhós, “Unbounded Solutions for Functional Problems on the Half-Line,” Abstract and Applied Analysis, vol. 2016, Article ID 8987374, 7 pages, 2016. doi:10.1155/2016/8987374https://www.hindawi.com/journals/aaa/2016/8987374/DMAThugcarrasco@gmail.comfminhos@uevora.pt334Carrasco, HugoMinhós, Felizinfo: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:RCAAP2024-01-03T19:09:03Zoai:dspace.uevora.pt:10174/19843Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:11:20.250312Repositório 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 Unbounded solutions for functional problems on the half-line
title Unbounded solutions for functional problems on the half-line
spellingShingle Unbounded solutions for functional problems on the half-line
Carrasco, Hugo
Unbounded solutions
Half-line
upper lower solutions
Green's function
fixed point theory
title_short Unbounded solutions for functional problems on the half-line
title_full Unbounded solutions for functional problems on the half-line
title_fullStr Unbounded solutions for functional problems on the half-line
title_full_unstemmed Unbounded solutions for functional problems on the half-line
title_sort Unbounded solutions for functional problems on the half-line
author Carrasco, Hugo
author_facet Carrasco, Hugo
Minhós, Feliz
author_role author
author2 Minhós, Feliz
author2_role author
dc.contributor.author.fl_str_mv Carrasco, Hugo
Minhós, Feliz
dc.subject.por.fl_str_mv Unbounded solutions
Half-line
upper lower solutions
Green's function
fixed point theory
topic Unbounded solutions
Half-line
upper lower solutions
Green's function
fixed point theory
description This paper presents an existence and localization result of unbounded solutions for a second-order differential equation on the half-line with functional boundary conditions. By applying unbounded upper and lower solutions, Green's functions and Schauder fixed point theorem, the existence of at least one solution is shown for the above problem. One example and one application to an Emden-Fowler equation are shown to illustrate our results.
publishDate 2016
dc.date.none.fl_str_mv 2016-01-01T00:00:00Z
2017-01-19T12:37:58Z
2017-01-19
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/10174/19843
http://hdl.handle.net/10174/19843
https://doi.org/10.1155/2016/8987374
url http://hdl.handle.net/10174/19843
https://doi.org/10.1155/2016/8987374
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Hugo Carrasco and Feliz Minhós, “Unbounded Solutions for Functional Problems on the Half-Line,” Abstract and Applied Analysis, vol. 2016, Article ID 8987374, 7 pages, 2016. doi:10.1155/2016/8987374
https://www.hindawi.com/journals/aaa/2016/8987374/
DMAT
hugcarrasco@gmail.com
fminhos@uevora.pt
334
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Hindawi Publishing Corporation
publisher.none.fl_str_mv Hindawi Publishing Corporation
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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