Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function

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dc.contributor.affiliationUniversidade de Santiago de Compostela. Departamento de Análise Matemática
dc.contributor.authorCabada Fernández, Alberto
dc.contributor.authorDimitrov, Nikolay
dc.date.accessioned2026-01-08T12:15:21Z
dc.date.available2026-01-08T12:15:21Z
dc.date.issued2018-04-16
dc.descriptionThis is the peer reviewed version of the following article: [Cabada A, Dimitrov ND. Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function. Math Meth Appl Sci. 2018; 41: 4763–4775], which has been published in final form at [https://doi.org/10.1002/mma.4929]. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Use of Self-Archived Versions. This article may not be enhanced, enriched or otherwise transformed into a derivative work, without express permission from Wiley or by statutory rights under applicable legislation. Copyright notices must not be removed, obscured or modified. The article must be linked to Wiley’s version of record on Wiley Online Library and any embedding, framing or otherwise making available the article or pages thereof by third parties from platforms, services and websites other than Wiley Online Library must be prohibited.
dc.description.abstractIn this paper we, consider an n-th order nonlinear difference equation with parameter dependence. An exhaustive study of the related Green's function is done. The exact expression of the function is given. The range of parameter for which either it has constant sign or it changes sign is obtained. Some existence results for the nonlinear problem are deduced by using the classical Krasnosel'skii's fixed point theorem on cones and fixed point index theory.
dc.description.peerreviewedSI
dc.description.sponsorshipFirst author was partially supported by AIE Spain and FEDER, grants MTM2013-43014-P, MTM2016-75140-P. The second author is supported by the Bulgarian National Science Fund under Project DN 12/4 “Advanced analytical and numerical methods for nonlinear differential equations with applications in finance and environmental pollution,” 2017.
dc.identifier.citationCabada A, Dimitrov ND. Positive homoclinic solutions of n-th order difference equations with sign-changing Green's function. Math Meth Appl Sci. 2018; 41: 4763–4775. https://doi.org/10.1002/mma.4929
dc.identifier.doi10.1002/mma.4929
dc.identifier.essn1099-1476
dc.identifier.issn0170-4214
dc.identifier.urihttps://hdl.handle.net/10347/44937
dc.journal.titleMathematical Methods in the Applied Sciences
dc.language.isoeng
dc.page.final4775
dc.page.initial4763
dc.publisherWiley
dc.relation.projectIDinfo:eu-repo/grantAgreement/NINECO/Programa Estatal de Fomento de la Investigación Científica y Técnica de Excelencia/MTM2013-43014-P/ES/
dc.relation.publisherversionhttps://doi.org/10.1002/mma.4929
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internationalen
dc.rights.accessRightsopen access
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectDifference equation
dc.subjectHomoclinic solutions
dc.subjectPositive solutions
dc.subjectParameter dependence
dc.subjectSign-changing Green's function
dc.subject.classification1202 Análisis y análisis funcional
dc.titlePositive homoclinic solutions of n-th order difference equations with sign-changing Green's function
dc.typejournal article
dc.type.hasVersionAM
dc.volume.number41
dspace.entity.typePublication
relation.isAuthorOfPublication72eb316c-075b-4d19-8242-bf6cbcd8a2cc
relation.isAuthorOfPublication.latestForDiscovery72eb316c-075b-4d19-8242-bf6cbcd8a2cc

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