Existence of solutions of integral equations defined in unbounded domains via spectral theory

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dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.contributor.authorLópez Somoza, Lucía
dc.date.accessioned2024-11-25T08:05:18Z
dc.date.available2024-11-25T08:05:18Z
dc.date.issued2020-02-21
dc.descriptionThis version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: https://doi.org/10.1007/s00009-020-1494-8
dc.description.abstractIn this work, we study integral equations defined on the whole real line. Using a suitable Banach space, we look for solutions which satisfy some certain kind of asymptotic behavior. We will consider spectral theory to find fixed points of the integral operator.
dc.description.peerreviewedSI
dc.description.sponsorshipThe three authors were partially supported by Ministerio de Economía y Competitividad, Spain, and FEDER, project MTM2013-43014-P, and by the Agencia Estatal de Investigación (AEI) of Spain under Grant MTM2016-75140-P, co-financed by the European Community fund FEDER. L. López-Somoza: supported by FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain.
dc.identifier.doi10.1007/s00009-020-1494-8
dc.identifier.essn1660-5454
dc.identifier.issn1660-5446
dc.identifier.urihttps://hdl.handle.net/10347/37805
dc.issue.number56
dc.journal.titleMediterranean Journal of Mathematics
dc.language.isoeng
dc.page.final23
dc.page.initial1
dc.publisherSpringer
dc.relation.publisherversionhttps://doi.org/10.1007/s00009-020-1494-8
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectAsymptotic behavior
dc.subjectIntegral operators
dc.subjectUnbounded domain
dc.subjectSpectral theory
dc.subject.classification120219 Ecuaciones diferenciales ordinarias
dc.titleExistence of solutions of integral equations defined in unbounded domains via spectral theory
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number17
dspace.entity.typePublication
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relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublicatione77d8fbd-a899-4480-9703-072da1798862
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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