Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications

Simple item page
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Análise Matemática
dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorInfante, Gennaro
dc.contributor.authorFernández Tojo, Fernando Adrián
dc.date.accessioned2026-02-02T10:07:06Z
dc.date.available2026-02-02T10:07:06Z
dc.date.issued2016-03-01
dc.descriptionThe final publication is available at the TMNA webpage via https://doi.org/10.12775/TMNA.2016.005
dc.description.abstractWe provide a theory to establish the existence of nonzero solutions of perturbed Hammerstein integral equations with deviated arguments, being our main ingredient the theory of fixed point index. Our approach is fairly general and covers a variety of cases. We apply our results to a periodic boundary value problem with reflections and to a thermostat problem. In the case of reflections we also discuss the optimality of some constants that occur in our theory. Some examples are presented to illustrate the theory
dc.description.peerreviewedSI
dc.description.sponsorshipA. Cabada was partially supported by FEDER and Ministerio de Educacion y Ciencia, Spain, projects MTM2010-15314 and MTM2013-43014-P. G. Infante was partially supported by G.N.A.M.P.A. – INdAM (Italy). F.A.F. Tojo was supported by FEDER and Ministerio de Educación y Ciencia, Spain, project MTM2010-15314, and by FPU scholarship, Ministerio de Educación, Cultura y Deporte, Spain
dc.identifier.citationCABADA, Alberto, INFANTE, Gennaro and TOJO, Fernando Adrian. Nonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications. Topological Methods in Nonlinear Analysis. Online. 1 March 2016. Vol. 47, no. 1, pp. 265 - 287. [Accessed 2 February 2026]. DOI 10.12775/TMNA.2016.005
dc.identifier.doi10.12775/TMNA.2016.005
dc.identifier.essn1230-3429
dc.identifier.urihttps://hdl.handle.net/10347/45629
dc.issue.number1
dc.journal.titleTopological Methods in Nonlinear Analysis.
dc.language.isoeng
dc.page.final287
dc.page.initial265
dc.publisherJuliusz Schauder Centre for Nonlinear Studies Nicolaus Copernicus University
dc.relation.publisherversionhttps://doi.org/10.12775/TMNA.2016.005
dc.rights.accessRightsopen access
dc.subjectNontrivial solutions
dc.subjectNonlocal boundary conditions
dc.subjectReflections
dc.subjectDeviated argument
dc.subjectFixed point index
dc.subjectCone
dc.subject.classification1202 Análisis y análisis funcional
dc.titleNonzero solutions of perturbed Hammerstein integral equations with deviated arguments and applications
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number47
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication7d79f16f-87c6-4898-b9eb-1fed52f1819a
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

Files

Original bundle

Now showing 1 - 1 of 1
Thumbnail Image
Name:
2016_Top_MetNonlAn_Cabada_Nonzero.pdf
Size:
365.54 KB
Format:
Adobe Portable Document Format
Download

Collections

Estatística, Análise Matemática e Optimización
Centro de Investigación e Tecnoloxía Matemática de Galicia (CITMAga)