Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities
| dc.contributor.affiliation | Universidade de Santiago de Compostela. Departamento de Estatística, Análise Matemática e Optimización | gl |
| dc.contributor.affiliation | Universidade de Santiago de Compostela. Instituto de Matemáticas | |
| dc.contributor.author | Cabada Fernández, Alberto | |
| dc.contributor.author | Dimitrov, Nikolay D. | |
| dc.date.accessioned | 2020-04-02T13:38:07Z | |
| dc.date.available | 2020-04-02T13:38:07Z | |
| dc.date.issued | 2019 | |
| dc.description.abstract | This 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 theory | gl |
| dc.description.peerreviewed | SI | gl |
| dc.description.sponsorship | First 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.citation | Cabada, 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-y | gl |
| dc.identifier.doi | 10.1186/s13662-019-2383-y | |
| dc.identifier.essn | 1687-1847 | |
| dc.identifier.uri | http://hdl.handle.net/10347/21099 | |
| dc.language.iso | eng | gl |
| dc.publisher | Springer | gl |
| dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/Plan Estatal de Investigación Científica y Técnica y de Innovación 2013-2016/MTM2016-75140-P/ES | |
| dc.relation.publisherversion | https://doi.org/10.1186/s13662-019-2383-y | gl |
| 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 made | gl |
| dc.rights.accessRights | open access | gl |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Inverse discrete problem | gl |
| dc.subject | Difference equation | gl |
| dc.subject | Green’s function | gl |
| dc.subject | Spectral radious | gl |
| dc.title | Nontrivial solutions of inverse discrete problems with sign-changing nonlinearities | gl |
| dc.type | journal article | gl |
| dc.type.hasVersion | VoR | gl |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | 72eb316c-075b-4d19-8242-bf6cbcd8a2cc | |
| relation.isAuthorOfPublication.latestForDiscovery | 72eb316c-075b-4d19-8242-bf6cbcd8a2cc |
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