On the solvability of a boundary value problem for a fourth-order ordinary differential equation
Autor(a) principal: | |
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Data de Publicação: | 2005 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.5/27647 |
Resumo: | We study the existence and multiplicity of nontrivial periodic solutions for a semilinear fourth-order ordinary differential equation arising in the study of spatial patterns for bistable systems. Variational tools such as the Brezis–Nirenberg theorem and Clark theorem are used in the proofs of the main results. |
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On the solvability of a boundary value problem for a fourth-order ordinary differential equationFourth-order EquationsVariational MethodsWe study the existence and multiplicity of nontrivial periodic solutions for a semilinear fourth-order ordinary differential equation arising in the study of spatial patterns for bistable systems. Variational tools such as the Brezis–Nirenberg theorem and Clark theorem are used in the proofs of the main results.ElsevierRepositório da Universidade de LisboaGrossinho, Maria do RosárioSanchez, LuisTersianc, Stepan A.2023-04-19T13:20:47Z20052005-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/27647engGrossinho, Maria do Rosário, Luis Sanchez and Stepan A. Tersianc .(2005). “On the solvability of a boundary value problem for a fourth-order ordinary differential equation”. Applied Mathematics Letters, Vol. 18: pp. 439–444. (Search PDF in 2023).0893-965910.1016/j.aml.2004.03.011info: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:RCAAP2023-04-23T01:30:55Zoai:www.repository.utl.pt:10400.5/27647Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:50:09.253636Repositório 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 a boundary value problem for a fourth-order ordinary differential equation |
title |
On the solvability of a boundary value problem for a fourth-order ordinary differential equation |
spellingShingle |
On the solvability of a boundary value problem for a fourth-order ordinary differential equation Grossinho, Maria do Rosário Fourth-order Equations Variational Methods |
title_short |
On the solvability of a boundary value problem for a fourth-order ordinary differential equation |
title_full |
On the solvability of a boundary value problem for a fourth-order ordinary differential equation |
title_fullStr |
On the solvability of a boundary value problem for a fourth-order ordinary differential equation |
title_full_unstemmed |
On the solvability of a boundary value problem for a fourth-order ordinary differential equation |
title_sort |
On the solvability of a boundary value problem for a fourth-order ordinary differential equation |
author |
Grossinho, Maria do Rosário |
author_facet |
Grossinho, Maria do Rosário Sanchez, Luis Tersianc, Stepan A. |
author_role |
author |
author2 |
Sanchez, Luis Tersianc, Stepan A. |
author2_role |
author author |
dc.contributor.none.fl_str_mv |
Repositório da Universidade de Lisboa |
dc.contributor.author.fl_str_mv |
Grossinho, Maria do Rosário Sanchez, Luis Tersianc, Stepan A. |
dc.subject.por.fl_str_mv |
Fourth-order Equations Variational Methods |
topic |
Fourth-order Equations Variational Methods |
description |
We study the existence and multiplicity of nontrivial periodic solutions for a semilinear fourth-order ordinary differential equation arising in the study of spatial patterns for bistable systems. Variational tools such as the Brezis–Nirenberg theorem and Clark theorem are used in the proofs of the main results. |
publishDate |
2005 |
dc.date.none.fl_str_mv |
2005 2005-01-01T00:00:00Z 2023-04-19T13:20:47Z |
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/10400.5/27647 |
url |
http://hdl.handle.net/10400.5/27647 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
Grossinho, Maria do Rosário, Luis Sanchez and Stepan A. Tersianc .(2005). “On the solvability of a boundary value problem for a fourth-order ordinary differential equation”. Applied Mathematics Letters, Vol. 18: pp. 439–444. (Search PDF in 2023). 0893-9659 10.1016/j.aml.2004.03.011 |
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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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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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1799131581157212160 |