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: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-01-03T18:47:45Zoai:dspace.uevora.pt:10174/7910Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T11:57:20.846048Repositórios 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 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:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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