Non ordered lower and upper solutions to fourth order functional BVP

Detalhes bibliográficos
Autor(a) principal: Cabada, Alberto
Data de Publicação: 2012
Outros Autores: Fialho, João, Minhós, Feliz
Tipo de documento: Artigo
Idioma: por
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/7910
Resumo: In this paper, given a L1-Carath éodory function, it is considered the functional fourth order equation u^(iv) (x) = f(x; u; u'; u'' (x) ; u''' (x)) together with the nonlinear functional boundary conditions L_0(u; u'; u''; u (a)) = 0 = L_1(u; u'; u''; u' (a)) L_2(u; u'; u''; u'' (a) ; u''' (a)) = 0 = L_3(u; u'; u''; u'' (b) ; u''' (b)): Here L_i, i = 0; 1; 2; 3, are continuous functions satisfying some adequate monotonicity assumptions. It will be proved an existence and location result in presence of non ordered lower and upper solutions and without monotone assumptions on the right hand side of the equation.
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spelling Non ordered lower and upper solutions to fourth order functional BVPHigher order problems,functional boundary value problems,In this paper, given a L1-Carath éodory function, it is considered the functional fourth order equation u^(iv) (x) = f(x; u; u'; u'' (x) ; u''' (x)) together with the nonlinear functional boundary conditions L_0(u; u'; u''; u (a)) = 0 = L_1(u; u'; u''; u' (a)) L_2(u; u'; u''; u'' (a) ; u''' (a)) = 0 = L_3(u; u'; u''; u'' (b) ; u''' (b)): Here L_i, i = 0; 1; 2; 3, are continuous functions satisfying some adequate monotonicity assumptions. It will be proved an existence and location result in presence of non ordered lower and upper solutions and without monotone assumptions on the right hand side of the equation.American Institute of Mathematical Sciences2013-01-29T14:35:27Z2013-01-292012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/7910http://hdl.handle.net/10174/7910poralberto.cabada@usc.esjfzero@gmail.comfminhos@uevora.pt334Cabada, AlbertoFialho, JoãoMinhós, 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:RCAAP2024-01-03T18:47:45Zoai:dspace.uevora.pt:10174/7910Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:02:00.147761Repositório 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 Non ordered lower and upper solutions to fourth order functional BVP
title Non ordered lower and upper solutions to fourth order functional BVP
spellingShingle Non ordered lower and upper solutions to fourth order functional BVP
Cabada, Alberto
Higher order problems,
functional boundary value problems,
title_short Non ordered lower and upper solutions to fourth order functional BVP
title_full Non ordered lower and upper solutions to fourth order functional BVP
title_fullStr Non ordered lower and upper solutions to fourth order functional BVP
title_full_unstemmed Non ordered lower and upper solutions to fourth order functional BVP
title_sort Non ordered lower and upper solutions to fourth order functional BVP
author Cabada, Alberto
author_facet Cabada, Alberto
Fialho, João
Minhós, Feliz
author_role author
author2 Fialho, João
Minhós, Feliz
author2_role author
author
dc.contributor.author.fl_str_mv Cabada, Alberto
Fialho, João
Minhós, Feliz
dc.subject.por.fl_str_mv Higher order problems,
functional boundary value problems,
topic Higher order problems,
functional boundary value problems,
description In this paper, given a L1-Carath éodory function, it is considered the functional fourth order equation u^(iv) (x) = f(x; u; u'; u'' (x) ; u''' (x)) together with the nonlinear functional boundary conditions L_0(u; u'; u''; u (a)) = 0 = L_1(u; u'; u''; u' (a)) L_2(u; u'; u''; u'' (a) ; u''' (a)) = 0 = L_3(u; u'; u''; u'' (b) ; u''' (b)): Here L_i, i = 0; 1; 2; 3, are continuous functions satisfying some adequate monotonicity assumptions. It will be proved an existence and location result in presence of non ordered lower and upper solutions and without monotone assumptions on the right hand side of the equation.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01T00:00:00Z
2013-01-29T14:35:27Z
2013-01-29
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/10174/7910
http://hdl.handle.net/10174/7910
url http://hdl.handle.net/10174/7910
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv alberto.cabada@usc.es
jfzero@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 American Institute of Mathematical Sciences
publisher.none.fl_str_mv American Institute of Mathematical Sciences
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
institution RCAAP
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
repository.mail.fl_str_mv
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