Publicação
Hyers-Ulam-Rassias Stability of Nonlinear Integral Equations Through the Bielecki Metric
| dc.contributor.author | Simões, A. M. | |
| dc.contributor.author | Castro, L. P. | |
| dc.date.accessioned | 2018-04-30T09:09:02Z | |
| dc.date.available | 2018-04-30T09:09:02Z | |
| dc.date.issued | 2018 | |
| dc.description.abstract | 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. | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.citation | 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. | pt_PT |
| dc.identifier.doi | DOI: 10.1002/mma.4857 | pt_PT |
| dc.identifier.uri | http://hdl.handle.net/10400.6/4747 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | John Wiley and Sons | pt_PT |
| dc.relation | Centro de Matemática e Aplicações da Universidade da Beira Interior (CMA-UBI) [UID/MAT/00212/2013] | |
| dc.subject | σ‐semi‐Hyers‐Ulam stability | pt_PT |
| dc.subject | Hyers‐Ulam‐Rassias stability | pt_PT |
| dc.subject | Hyers‐Ulam stability | pt_PT |
| dc.subject | Nonlinear integral equation | pt_PT |
| dc.subject | Banach fixed point theorem | pt_PT |
| dc.title | Hyers-Ulam-Rassias Stability of Nonlinear Integral Equations Through the Bielecki Metric | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardTitle | Centro de Matemática e Aplicações da Universidade da Beira Interior (CMA-UBI) [UID/MAT/00212/2013] | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F00212%2F2013/PT | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/5876/UID%2FMAT%2F04106%2F2013/PT | |
| oaire.citation.endPage | 17 | pt_PT |
| oaire.citation.startPage | 1 | pt_PT |
| oaire.citation.title | Mathematical Methods in the Applied Sciences | pt_PT |
| oaire.fundingStream | 5876 | |
| oaire.fundingStream | 5876 | |
| person.familyName | Tavares Simões | |
| person.familyName | Castro | |
| person.givenName | Alberto Manuel | |
| person.givenName | Luis | |
| person.identifier | 1504027 | |
| person.identifier.ciencia-id | B71F-0817-C348 | |
| person.identifier.ciencia-id | 7111-EF1A-2B3C | |
| person.identifier.orcid | 0000-0002-4772-4300 | |
| person.identifier.orcid | 0000-0002-4261-8699 | |
| person.identifier.rid | A-5442-2008 | |
| person.identifier.scopus-author-id | 35224069500 | |
| person.identifier.scopus-author-id | 7202228678 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.embargofct | Copyright cedido à editora no momento da publicação | pt_PT |
| rcaap.rights | closedAccess | pt_PT |
| rcaap.type | article | pt_PT |
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