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

Detalhes bibliográficos
Autor(a) principal: Castro, L. P.
Data de Publicação: 2017
Outros Autores: Simões, A. M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10773/16736
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 Physics2018-07-20T14:00:59Z2017-01-27T00:00:00Z2017-01-272018-01-27T18:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16736eng1551-761610.1063/1.4972628Castro, L. P.Simões, A. M.info: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:RCAAP2024-02-22T11:32:00Zoai:ria.ua.pt:10773/16736Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:52:04.687968Repositório 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
Castro, L. P.
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 Castro, L. P.
author_facet Castro, L. P.
Simões, A. M.
author_role author
author2 Simões, A. M.
author2_role author
dc.contributor.author.fl_str_mv Castro, L. P.
Simões, A. M.
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 2017-01-27T00:00:00Z
2017-01-27
2018-07-20T14:00:59Z
2018-01-27T18:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
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status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10773/16736
url http://hdl.handle.net/10773/16736
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1551-7616
10.1063/1.4972628
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 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)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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