Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations

Detalhes bibliográficos
Autor(a) principal: Simões, A. M.
Data de Publicação: 2017
Outros Autores: Castro, L. P.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/4745
Resumo: The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein integral equations. The consequent different cases of a finite interval and an infinite interval are considered, and some concrete examples are included to illustrate the results.
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spelling Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equationsHammerstein integral equationHyers-Ulam stabilityHyers-Ulam-Rassias stabilityThe purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein integral equations. The consequent different cases of a finite interval and an infinite interval are considered, and some concrete examples are included to illustrate the results.American Institute of PhysicsuBibliorumSimões, A. M.Castro, L. P.2018-04-30T08:51:46Z20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/4745engL. P. Castro, A. M. Simoes, Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations, AIP Conference Proceedings, 1798(1):1-10, 2017.1551-7616https://doi.org/10.1063/1.4972628metadata only accessinfo: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:RCAAP2023-12-15T09:42:05Zoai:ubibliorum.ubi.pt:10400.6/4745Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:45:47.227516Repositório 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 Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
title Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
spellingShingle Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
Simões, A. M.
Hammerstein integral equation
Hyers-Ulam stability
Hyers-Ulam-Rassias stability
title_short Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
title_full Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
title_fullStr Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
title_full_unstemmed Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
title_sort Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
author Simões, A. M.
author_facet Simões, A. M.
Castro, L. P.
author_role author
author2 Castro, L. P.
author2_role author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Simões, A. M.
Castro, L. P.
dc.subject.por.fl_str_mv Hammerstein integral equation
Hyers-Ulam stability
Hyers-Ulam-Rassias stability
topic Hammerstein integral equation
Hyers-Ulam stability
Hyers-Ulam-Rassias stability
description The purpose of this paper is to study different kinds of stability for a class of Hammerstein integral equations. Sufficient conditions are derived in view to obtain Hyers-Ulam stability and Hyers-Ulam-Rassias stability for such a class of Hammerstein integral equations. The consequent different cases of a finite interval and an infinite interval are considered, and some concrete examples are included to illustrate the results.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
2018-04-30T08:51:46Z
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/10400.6/4745
url http://hdl.handle.net/10400.6/4745
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv L. P. Castro, A. M. Simoes, Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations, AIP Conference Proceedings, 1798(1):1-10, 2017.
1551-7616
https://doi.org/10.1063/1.4972628
dc.rights.driver.fl_str_mv metadata only access
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rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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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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