Nonlinear perturbed integral equations related to nonlocal boundary value problems

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Análise Matemática
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorInfante, Gennaro
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2026-01-08T13:19:05Z
dc.date.available2026-01-08T13:19:05Z
dc.date.issued2018-02-01
dc.description.abstractBy topological arguments, we prove new results on the existence, non-existence, localization and multiplicity of nontrivial solutions of a class of perturbed nonlinear integral equations. These type of integral equations arise, for example, when dealing with boundary value problems where nonlocal terms occur in the differential equation and/or in the boundary conditions. Some examples are given to illustrate the theoretical results.
dc.description.peerreviewedSI
dc.description.sponsorshipA. Cabada and F. A. F. Tojo were partially supported by Ministerio de Educacion y Ciencia, Spain, and FEDER, Project MTM2013-43014-P. F. A. F. Tojo was partially supported by Xunta de Galicia (Spain), project EM2014/032; FPU scholarship, Ministerio de Educacion, Cultura y Deporte, Spain and a Fundaci on Barrie Scholarship. G. Infante was partially supported by G.N.A.M.P.A. - INdAM (Italy).
dc.identifier.citationAlberto Cabada, Gennaro Infante and F. Adrián F. Tojo, Nonlinear perturbed integral equations related to nonlocal boundary value problems. Fixed Point Theory, Volume 19, No. 1, 2018, 65-92, February 1st, 2018
dc.identifier.doi10.24193/fpt-ro.2018.1.07
dc.identifier.essn2066-9208
dc.identifier.issn1583-5022
dc.identifier.urihttps://hdl.handle.net/10347/44941
dc.issue.number1
dc.journal.titleFixed Point Theory
dc.language.isoeng
dc.page.final92
dc.page.initial65
dc.publisherDepartment of Mathematics Babeş-Bolyai University Cluj-Napoca
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia/MTM2013-43014-P/ES/ECUACIONES DIFERENCIALES ORDINARIAS NO LINEALES
dc.relation.publisherversionhttps://doi.org/10.24193/fpt-ro.2018.1.07
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectPerturbed integral equation
dc.subjectNonlocal differential equation
dc.subjectNonlinear boundary condition
dc.subjectNontrivial solution
dc.subjectFixed point index
dc.subjectCone
dc.subject.classification1202 Análisis y análisis funcional
dc.titleNonlinear perturbed integral equations related to nonlocal boundary value problems
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number19
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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