New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations

Detalhes bibliográficos
Autor(a) principal: Simões, A. M.
Data de Publicação: 2021
Outros Autores: Carapau, F., Correia, 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/10773/33243
Resumo: In this work, we present sufficient conditions in order to establish different types of Ulam stabilities for a class of higher order integro-differential equations. In particular, we consider a new kind of stability, the sigma-semi-Hyers-Ulam stability, which is in some sense between the Hyers-Ulam and the Hyers-Ulam-Rassias stabilities. These new sufficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a specific generalization of the Bielecki metric.
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spelling New sufficient conditions to ulam stabilities for a class of higher order integro-differential equationsHyers-ulam stabilityHyers-ulam-rassias stabilityBanach fixed point theoremIn this work, we present sufficient conditions in order to establish different types of Ulam stabilities for a class of higher order integro-differential equations. In particular, we consider a new kind of stability, the sigma-semi-Hyers-Ulam stability, which is in some sense between the Hyers-Ulam and the Hyers-Ulam-Rassias stabilities. These new sufficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a specific generalization of the Bielecki metric.MDPI2022-02-22T13:13:02Z2021-11-02T00:00:00Z2021-11-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/33243eng10.3390/sym13112068Simões, A. M.Carapau, F.Correia, P.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:RCAAP2024-02-22T12:03:48Zoai:ria.ua.pt:10773/33243Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:04:39.061229Repositório 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 New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
title New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
spellingShingle New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
Simões, A. M.
Hyers-ulam stability
Hyers-ulam-rassias stability
Banach fixed point theorem
title_short New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
title_full New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
title_fullStr New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
title_full_unstemmed New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
title_sort New sufficient conditions to ulam stabilities for a class of higher order integro-differential equations
author Simões, A. M.
author_facet Simões, A. M.
Carapau, F.
Correia, P.
author_role author
author2 Carapau, F.
Correia, P.
author2_role author
author
dc.contributor.author.fl_str_mv Simões, A. M.
Carapau, F.
Correia, P.
dc.subject.por.fl_str_mv Hyers-ulam stability
Hyers-ulam-rassias stability
Banach fixed point theorem
topic Hyers-ulam stability
Hyers-ulam-rassias stability
Banach fixed point theorem
description In this work, we present sufficient conditions in order to establish different types of Ulam stabilities for a class of higher order integro-differential equations. In particular, we consider a new kind of stability, the sigma-semi-Hyers-Ulam stability, which is in some sense between the Hyers-Ulam and the Hyers-Ulam-Rassias stabilities. These new sufficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a specific generalization of the Bielecki metric.
publishDate 2021
dc.date.none.fl_str_mv 2021-11-02T00:00:00Z
2021-11-02
2022-02-22T13:13:02Z
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/10773/33243
url http://hdl.handle.net/10773/33243
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 10.3390/sym13112068
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
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
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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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