Hyers-Ulam and Hyers-Ulam-Rassias stability of a class of Hammerstein integral equations
Autor(a) principal: | |
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Data de Publicação: | 2017 |
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/10400.6/4745 |
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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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 |
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metadata only access info:eu-repo/semantics/openAccess |
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metadata only access |
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 instacron:RCAAP |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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