Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric
Autor(a) principal: | |
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Data de Publicação: | 2018 |
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/10773/22992 |
Resumo: | We analyse different kinds of stabilities for classes of nonlinear integral equations of Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, $\sigma$-semi-Hyers-Ulam and Hyers-Ulam stabilities for those integral equations. Finite and infinite intervals are considered as integration domains. Those sufficient conditions are obtained based on the use of fixed point arguments within the framework of the Bielecki metric and its generalizations. The results are illustrated by concrete examples. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metricHyers-Ulam stabilitySigma-semi-Hyers-Ulam stabilityHyers-Ulam-Rassias stabilityBanach fixed point theorem;Bielecki metricNonlinear integral equationWe analyse different kinds of stabilities for classes of nonlinear integral equations of Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, $\sigma$-semi-Hyers-Ulam and Hyers-Ulam stabilities for those integral equations. Finite and infinite intervals are considered as integration domains. Those sufficient conditions are obtained based on the use of fixed point arguments within the framework of the Bielecki metric and its generalizations. The results are illustrated by concrete examples.John Wiley & Sons, Inc.2018-04-202018-04-20T00:00:00Z2019-04-20T15:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/22992eng1099-147610.1002/mma.4857Castro, 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:RCAAP2024-02-22T11:44:53Zoai:ria.ua.pt:10773/22992Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:56:56.618218Repositório 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-Rassias stability of nonlinear integral equations through the Bielecki metric |
title |
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric |
spellingShingle |
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric Castro, L.P. Hyers-Ulam stability Sigma-semi-Hyers-Ulam stability Hyers-Ulam-Rassias stability Banach fixed point theorem; Bielecki metric Nonlinear integral equation |
title_short |
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric |
title_full |
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric |
title_fullStr |
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric |
title_full_unstemmed |
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric |
title_sort |
Hyers-Ulam-Rassias stability of nonlinear integral equations through the Bielecki metric |
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 |
Hyers-Ulam stability Sigma-semi-Hyers-Ulam stability Hyers-Ulam-Rassias stability Banach fixed point theorem; Bielecki metric Nonlinear integral equation |
topic |
Hyers-Ulam stability Sigma-semi-Hyers-Ulam stability Hyers-Ulam-Rassias stability Banach fixed point theorem; Bielecki metric Nonlinear integral equation |
description |
We analyse different kinds of stabilities for classes of nonlinear integral equations of Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, $\sigma$-semi-Hyers-Ulam and Hyers-Ulam stabilities for those integral equations. Finite and infinite intervals are considered as integration domains. Those sufficient conditions are obtained based on the use of fixed point arguments within the framework of the Bielecki metric and its generalizations. The results are illustrated by concrete examples. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-04-20 2018-04-20T00:00:00Z 2019-04-20T15:00:00Z |
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/10773/22992 |
url |
http://hdl.handle.net/10773/22992 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1099-1476 10.1002/mma.4857 |
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 |
John Wiley & Sons, Inc. |
publisher.none.fl_str_mv |
John Wiley & Sons, Inc. |
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 |
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 |
repository.mail.fl_str_mv |
|
_version_ |
1799137623228284928 |