A Hyers-Ulam stability analysis for classes of Bessel equations
Autor(a) principal: | |
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Data de Publicação: | 2021 |
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/10773/33242 |
Resumo: | Mathematical modeling helps us to better understand different natural phenomena. Modeling is most of the times based on the consideration of appropriate equations (or systems of equations). Here, differential equations are well-known to be very useful instruments when building mathematical models - specially because that the use of derivatives offers several interpretations associated with real life laws. Differential equations are classi ed based on several characteristics and, in this way, allow different possibilities of building models. In this paper we will be concentrated in analysing certain stability properties of classes of Bessel differential equations. In fact, the main aim of this work is to seek adequate conditions to derive different kinds of stabilities for the Bessel equation and for the modi ed Bessel equation by considering a perturbation of the trivial solution. In this way, suficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, sigma-semi-Hyers-Ulam and Hyers-Ulam stabilities for those equations. |
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A Hyers-Ulam stability analysis for classes of Bessel equationsHyers-Ulam stabilitySigma-semi-Hyers-Ulam stabilityHyers-Ulam-Rassias stabilityBessel equationModified Bessel equationMathematical modeling helps us to better understand different natural phenomena. Modeling is most of the times based on the consideration of appropriate equations (or systems of equations). Here, differential equations are well-known to be very useful instruments when building mathematical models - specially because that the use of derivatives offers several interpretations associated with real life laws. Differential equations are classi ed based on several characteristics and, in this way, allow different possibilities of building models. In this paper we will be concentrated in analysing certain stability properties of classes of Bessel differential equations. In fact, the main aim of this work is to seek adequate conditions to derive different kinds of stabilities for the Bessel equation and for the modi ed Bessel equation by considering a perturbation of the trivial solution. In this way, suficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, sigma-semi-Hyers-Ulam and Hyers-Ulam stabilities for those equations.Faculty of Sciences and Mathematics, Department of Mathematics- Universitet of Nis2022-02-22T12:57:16Z2021-01-01T00:00:00Z2021info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/33242eng0354-518010.2298/FIL2113391CCastro, 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:RCAAP2024-02-22T12:03:48Zoai:ria.ua.pt:10773/33242Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T03:04:39.015916Repositório 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 |
A Hyers-Ulam stability analysis for classes of Bessel equations |
title |
A Hyers-Ulam stability analysis for classes of Bessel equations |
spellingShingle |
A Hyers-Ulam stability analysis for classes of Bessel equations Castro, L. P. Hyers-Ulam stability Sigma-semi-Hyers-Ulam stability Hyers-Ulam-Rassias stability Bessel equation Modified Bessel equation |
title_short |
A Hyers-Ulam stability analysis for classes of Bessel equations |
title_full |
A Hyers-Ulam stability analysis for classes of Bessel equations |
title_fullStr |
A Hyers-Ulam stability analysis for classes of Bessel equations |
title_full_unstemmed |
A Hyers-Ulam stability analysis for classes of Bessel equations |
title_sort |
A Hyers-Ulam stability analysis for classes of Bessel equations |
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 Bessel equation Modified Bessel equation |
topic |
Hyers-Ulam stability Sigma-semi-Hyers-Ulam stability Hyers-Ulam-Rassias stability Bessel equation Modified Bessel equation |
description |
Mathematical modeling helps us to better understand different natural phenomena. Modeling is most of the times based on the consideration of appropriate equations (or systems of equations). Here, differential equations are well-known to be very useful instruments when building mathematical models - specially because that the use of derivatives offers several interpretations associated with real life laws. Differential equations are classi ed based on several characteristics and, in this way, allow different possibilities of building models. In this paper we will be concentrated in analysing certain stability properties of classes of Bessel differential equations. In fact, the main aim of this work is to seek adequate conditions to derive different kinds of stabilities for the Bessel equation and for the modi ed Bessel equation by considering a perturbation of the trivial solution. In this way, suficient conditions are obtained in order to guarantee Hyers-Ulam-Rassias, sigma-semi-Hyers-Ulam and Hyers-Ulam stabilities for those equations. |
publishDate |
2021 |
dc.date.none.fl_str_mv |
2021-01-01T00:00:00Z 2021 2022-02-22T12:57:16Z |
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/10773/33242 |
url |
http://hdl.handle.net/10773/33242 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0354-5180 10.2298/FIL2113391C |
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 |
Faculty of Sciences and Mathematics, Department of Mathematics- Universitet of Nis |
publisher.none.fl_str_mv |
Faculty of Sciences and Mathematics, Department of Mathematics- Universitet of Nis |
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 |
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1799137701889310720 |