Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions

Detalhes bibliográficos
Autor(a) principal: Grossinho, Maria do Rosário
Data de Publicação: 1999
Outros Autores: Omari, Pierpaolo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.5/27654
Resumo: We prove the solvability of the parabolic problema … assuming certain conditions on the asymptotic behaviour of the ratio … with respect to the principal eigenvalue of the associated linear problem. The method of proof, which is based on the construction of upper and lower solutions, also yields information on the localization and the stability of the solution.
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spelling Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditionsParabolic EquationPeriodic SolutionHammerstein’s ConditionUpper and Lower SolutionsExistenceLocalizationStabilityWe prove the solvability of the parabolic problema … assuming certain conditions on the asymptotic behaviour of the ratio … with respect to the principal eigenvalue of the associated linear problem. The method of proof, which is based on the construction of upper and lower solutions, also yields information on the localization and the stability of the solution.University of SzegedRepositório da Universidade de LisboaGrossinho, Maria do RosárioOmari, Pierpaolo2023-04-24T08:52:33Z19991999-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.5/27654engGrossinho, Maria do Rosário and Pierpaolo Omari. (1999). "Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein-type conditions". Electronic Journal of Qualitative Theory of Differential Equations, No. 9: pp. 1-24. (Search PDF in 2023).1417-3875info: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:RCAAP2023-04-30T01:30:47Zoai:www.repository.utl.pt:10400.5/27654Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T17:50:25.858183Repositório 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 Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions
title Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions
spellingShingle Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions
Grossinho, Maria do Rosário
Parabolic Equation
Periodic Solution
Hammerstein’s Condition
Upper and Lower Solutions
Existence
Localization
Stability
title_short Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions
title_full Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions
title_fullStr Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions
title_full_unstemmed Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions
title_sort Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein--type conditions
author Grossinho, Maria do Rosário
author_facet Grossinho, Maria do Rosário
Omari, Pierpaolo
author_role author
author2 Omari, Pierpaolo
author2_role author
dc.contributor.none.fl_str_mv Repositório da Universidade de Lisboa
dc.contributor.author.fl_str_mv Grossinho, Maria do Rosário
Omari, Pierpaolo
dc.subject.por.fl_str_mv Parabolic Equation
Periodic Solution
Hammerstein’s Condition
Upper and Lower Solutions
Existence
Localization
Stability
topic Parabolic Equation
Periodic Solution
Hammerstein’s Condition
Upper and Lower Solutions
Existence
Localization
Stability
description We prove the solvability of the parabolic problema … assuming certain conditions on the asymptotic behaviour of the ratio … with respect to the principal eigenvalue of the associated linear problem. The method of proof, which is based on the construction of upper and lower solutions, also yields information on the localization and the stability of the solution.
publishDate 1999
dc.date.none.fl_str_mv 1999
1999-01-01T00:00:00Z
2023-04-24T08:52:33Z
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/10400.5/27654
url http://hdl.handle.net/10400.5/27654
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Grossinho, Maria do Rosário and Pierpaolo Omari. (1999). "Existence of stable periodic solutions of a semilinear parabolic problem under Hammerstein-type conditions". Electronic Journal of Qualitative Theory of Differential Equations, No. 9: pp. 1-24. (Search PDF in 2023).
1417-3875
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 University of Szeged
publisher.none.fl_str_mv University of Szeged
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
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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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