On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions

Detalhes bibliográficos
Autor(a) principal: Cabada, Alberto
Data de Publicação: 2003
Outros Autores: Grossinho, Maria do Rosário, 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/10400.5/27653
Resumo: We prove the existence of extremal solutions for the third order discontinuous functional nonlinear problema … by using a fixed point theorem after having established some existence results for some auxiliary second order nonlinear problems. We observe that, together with the discontinuities allowed on the spacial variable u, with adequate modifications of technical type, analogous results can be obtained when the equation has a second member not necessarily continuous in u.
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spelling On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditionsLower and Upper SolutionsThird-order Nonlinear Boundary Value ProblemsØ-Laplacian ProblemWe prove the existence of extremal solutions for the third order discontinuous functional nonlinear problema … by using a fixed point theorem after having established some existence results for some auxiliary second order nonlinear problems. We observe that, together with the discontinuities allowed on the spacial variable u, with adequate modifications of technical type, analogous results can be obtained when the equation has a second member not necessarily continuous in u.ElsevierRepositório da Universidade de LisboaCabada, AlbertoGrossinho, Maria do RosárioMinhós, Feliz2023-04-21T10:47:21Z20032003-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/27653engCabada, Alberto, Maria do Rosário Grossinho and Feliz Minhós .(2003). “On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions”. Journal of Mathematical Analysis and Applications, Vol. 285, No.1 : pp. 174-190.0022-247X10.10.16/S0022-247X(03)00388-3info: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:RCAAP2023-04-23T01:30:58Zoai:www.repository.utl.pt:10400.5/27653Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:50:09.551101Repositório 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 On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
title On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
spellingShingle On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
Cabada, Alberto
Lower and Upper Solutions
Third-order Nonlinear Boundary Value Problems
Ø-Laplacian Problem
title_short On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
title_full On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
title_fullStr On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
title_full_unstemmed On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
title_sort On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions
author Cabada, Alberto
author_facet Cabada, Alberto
Grossinho, Maria do Rosário
Minhós, Feliz
author_role author
author2 Grossinho, Maria do Rosário
Minhós, Feliz
author2_role author
author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Cabada, Alberto
Grossinho, Maria do Rosário
Minhós, Feliz
dc.subject.por.fl_str_mv Lower and Upper Solutions
Third-order Nonlinear Boundary Value Problems
Ø-Laplacian Problem
topic Lower and Upper Solutions
Third-order Nonlinear Boundary Value Problems
Ø-Laplacian Problem
description We prove the existence of extremal solutions for the third order discontinuous functional nonlinear problema … by using a fixed point theorem after having established some existence results for some auxiliary second order nonlinear problems. We observe that, together with the discontinuities allowed on the spacial variable u, with adequate modifications of technical type, analogous results can be obtained when the equation has a second member not necessarily continuous in u.
publishDate 2003
dc.date.none.fl_str_mv 2003
2003-01-01T00:00:00Z
2023-04-21T10:47:21Z
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/10400.5/27653
url http://hdl.handle.net/10400.5/27653
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Cabada, Alberto, Maria do Rosário Grossinho and Feliz Minhós .(2003). “On the solvability of some discontinuous third order nonlinear differential equations with two point boundary conditions”. Journal of Mathematical Analysis and Applications, Vol. 285, No.1 : pp. 174-190.
0022-247X
10.10.16/S0022-247X(03)00388-3
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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
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