Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities

dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimizacióngl
dc.contributor.affiliationUniversidade de Santiago de Compostela. Instituto de Matemáticas
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorDimitrov, Nikolay D.
dc.date.accessioned2020-04-02T13:38:07Z
dc.date.available2020-04-02T13:38:07Z
dc.date.issued2019
dc.description.abstractThis paper is concerned with the existence of solutions of an inverse discrete problem with sign-changing nonlinearity. This kind of problems includes, as a particular case, nth order difference equations coupled with suitable conditions on the boundary of the interval of definition. It would be valid for the case in which the related Green’s function is positive on a subset of its rectangle of definition. The existence results follow from spectral theory, as an application of the Krein–Rutman theorem and by means of degree theorygl
dc.description.peerreviewedSIgl
dc.description.sponsorshipFirst author is partially supported by Xunta de Galicia (Spain), project EM2014/032 and AIE, Spain and FEDER, grant MTM2016-75140-P. The second author is supported by the Bulgarian National Science Foundation under Project DN 12/4 “Advanced analytical and numerical methods for nonlinear differential equations with applications in finance and environmental pollution”gl
dc.identifier.citationCabada, A., Dimitrov, N.D. Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities. Adv Differ Equ 2019, 450 (2019). https://doi.org/10.1186/s13662-019-2383-ygl
dc.identifier.doi10.1186/s13662-019-2383-y
dc.identifier.essn1687-1847
dc.identifier.urihttp://hdl.handle.net/10347/21099
dc.language.isoenggl
dc.publisherSpringergl
dc.relation.projectIDinfo:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES
dc.relation.publisherversionhttps://doi.org/10.1186/s13662-019-2383-ygl
dc.rights© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/),which permits unrestricted use, distribution, and reproduction in anymedium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were madegl
dc.rights.accessRightsopen accessgl
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/
dc.subjectInverse discrete problemgl
dc.subjectDifference equationgl
dc.subjectGreen’s functiongl
dc.subjectSpectral radiousgl
dc.titleNontrivial solutions of inverse discrete problems with sign-changing nonlinearitiesgl
dc.typejournal articlegl
dc.type.hasVersionVoRgl
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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