New Sufficient Conditions to Ulam Stabilities for a Class of Higher Order Integro-Differential Equations

Detalhes bibliográficos
Autor(a) principal: Simões, Alberto M.
Data de Publicação: 2021
Outros Autores: Carapau, Fernando, Correia, Paulo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.6/12029
Resumo: In this work, we present suficient 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 suficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a speci fic 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 suficient 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 suficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a speci fic generalization of the Bielecki metric.MDPIuBibliorumSimões, Alberto M.Carapau, FernandoCorreia, Paulo2022-02-09T11:36:45Z20212021-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/12029eng2073899410.3390/sym13112068info: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:RCAAP2023-12-15T09:54:49Zoai:ubibliorum.ubi.pt:10400.6/12029Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:51:43.383245Repositório 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, Alberto 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, Alberto M.
author_facet Simões, Alberto M.
Carapau, Fernando
Correia, Paulo
author_role author
author2 Carapau, Fernando
Correia, Paulo
author2_role author
author
dc.contributor.none.fl_str_mv uBibliorum
dc.contributor.author.fl_str_mv Simões, Alberto M.
Carapau, Fernando
Correia, Paulo
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 suficient 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 suficient conditions result from the application of the Banach Fixed Point Theorem, and by applying a speci fic generalization of the Bielecki metric.
publishDate 2021
dc.date.none.fl_str_mv 2021
2021-01-01T00:00:00Z
2022-02-09T11:36:45Z
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/10400.6/12029
url http://hdl.handle.net/10400.6/12029
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 20738994
10.3390/sym13112068
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 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
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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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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