Hyers-Ulam-Rassias Stability of Nonlinear Integral Equations Through the Bielecki Metric

Detalhes bibliográficos
Autor(a) principal: Simões, A. M.
Data de Publicação: 2018
Outros Autores: Castro, L. 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/10400.6/4747
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, σ‐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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spelling Hyers-Ulam-Rassias Stability of Nonlinear Integral Equations Through the Bielecki Metricσ‐semi‐Hyers‐Ulam stabilityHyers‐Ulam‐Rassias stabilityHyers‐Ulam stabilityNonlinear integral equationBanach fixed point theoremWe 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, σ‐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 and SonsuBibliorumSimões, A. M.Castro, L. P.2018-04-30T09:09:02Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.6/4747engL. P. Castro, A. M. Simões, Hyers-Ulam-Rassias Stability of Nonlinear Integral Equations Through the Bielecki Metric, Math Meth Appl Sci., 2018;1–17.DOI: 10.1002/mma.4857metadata 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:RCAAP2023-12-15T09:42:04Zoai:ubibliorum.ubi.pt:10400.6/4747Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T00:45:47.137474Repositório 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
Simões, A. M.
σ‐semi‐Hyers‐Ulam stability
Hyers‐Ulam‐Rassias stability
Hyers‐Ulam stability
Nonlinear integral equation
Banach fixed point theorem
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 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 σ‐semi‐Hyers‐Ulam stability
Hyers‐Ulam‐Rassias stability
Hyers‐Ulam stability
Nonlinear integral equation
Banach fixed point theorem
topic σ‐semi‐Hyers‐Ulam stability
Hyers‐Ulam‐Rassias stability
Hyers‐Ulam stability
Nonlinear integral equation
Banach fixed point theorem
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, σ‐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 2018-04-30T09:09:02Z
2018
2018-01-01T00:00:00Z
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/10400.6/4747
url http://hdl.handle.net/10400.6/4747
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv L. P. Castro, A. M. Simões, Hyers-Ulam-Rassias Stability of Nonlinear Integral Equations Through the Bielecki Metric, Math Meth Appl Sci., 2018;1–17.
DOI: 10.1002/mma.4857
dc.rights.driver.fl_str_mv metadata only access
info:eu-repo/semantics/openAccess
rights_invalid_str_mv metadata only access
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv John Wiley and Sons
publisher.none.fl_str_mv John Wiley and Sons
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
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