THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS

Detalhes bibliográficos
Autor(a) principal: Fialho, João
Data de Publicação: 2012
Outros Autores: 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/10174/9528
Resumo: In this the authors consider a nonlinear fourth order fully equation coupled with the Lidstone boundary conditions, We discuss how di erent de nitions of lower and upper solutions can generalize existence and location results for boundary value problems with Lidstone boundary data. In addition, it is replaced the usual bilateral Nagumo condition by a one-sided condition, allowing the nonlinearity to be unbounded: An example will show that this unilateral condition generalizes the usual one and stress the potentialities of the new de nitions.
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spelling THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMSLidstone problemsone-sided Nagumo conditionnon ordered lower and upper solutions.In this the authors consider a nonlinear fourth order fully equation coupled with the Lidstone boundary conditions, We discuss how di erent de nitions of lower and upper solutions can generalize existence and location results for boundary value problems with Lidstone boundary data. In addition, it is replaced the usual bilateral Nagumo condition by a one-sided condition, allowing the nonlinearity to be unbounded: An example will show that this unilateral condition generalizes the usual one and stress the potentialities of the new de nitions.American Institue of Mathematical Sciences (AIMS)2014-01-13T11:41:19Z2014-01-132012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/9528http://hdl.handle.net/10174/9528porDISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Supplement 2013 pp. 217-226jfzero@gmail.comfminhos@uevora.pt334Fialho, 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:RCAAP2024-01-03T18:51:25Zoai:dspace.uevora.pt:10174/9528Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:03:30.858784Repositório 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 THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS
title THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS
spellingShingle THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS
Fialho, João
Lidstone problems
one-sided Nagumo condition
non ordered lower and upper solutions.
title_short THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS
title_full THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS
title_fullStr THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS
title_full_unstemmed THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS
title_sort THE ROLE OF LOWER AND UPPER SOLUTIONS IN THE GENERALIZATION OF LIDSTONE PROBLEMS
author Fialho, João
author_facet Fialho, João
Minhós, Feliz
author_role author
author2 Minhós, Feliz
author2_role author
dc.contributor.author.fl_str_mv Fialho, João
Minhós, Feliz
dc.subject.por.fl_str_mv Lidstone problems
one-sided Nagumo condition
non ordered lower and upper solutions.
topic Lidstone problems
one-sided Nagumo condition
non ordered lower and upper solutions.
description In this the authors consider a nonlinear fourth order fully equation coupled with the Lidstone boundary conditions, We discuss how di erent de nitions of lower and upper solutions can generalize existence and location results for boundary value problems with Lidstone boundary data. In addition, it is replaced the usual bilateral Nagumo condition by a one-sided condition, allowing the nonlinearity to be unbounded: An example will show that this unilateral condition generalizes the usual one and stress the potentialities of the new de nitions.
publishDate 2012
dc.date.none.fl_str_mv 2012-01-01T00:00:00Z
2014-01-13T11:41:19Z
2014-01-13
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/10174/9528
http://hdl.handle.net/10174/9528
url http://hdl.handle.net/10174/9528
dc.language.iso.fl_str_mv por
language por
dc.relation.none.fl_str_mv DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS Supplement 2013 pp. 217-226
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 Institue of Mathematical Sciences (AIMS)
publisher.none.fl_str_mv American Institue of Mathematical Sciences (AIMS)
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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