Decaying positive global solutions of second order difference equations with mean curvature operator

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dc.contributor.authorDošlá, Zuzanacs
dc.contributor.authorMatucci, Serenacs
dc.contributor.authorŘehák, Pavelcs
dc.coverage.issue72cs
dc.coverage.volume2020cs
dc.date.issued2020-12-21cs
dc.description.abstractA boundary value problem on an unbounded domain, associated to difference equations with the Euclidean mean curvature operator is considered. The existence of solutions which are positive on the whole domain and decaying at infinity is examined by proving new Sturm comparison theorems for linear difference equations and using a fixed point approach based on a linearization device. The process of discretization of the boundary value problem on the unbounded domain is examined, and some discrepancies between the discrete and the continuous cases are pointed out, too.en
dc.formattextcs
dc.format.extent1-16cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationElectronic Journal of Qualitative Theory of Differential Equations. 2020, vol. 2020, issue 72, p. 1-16.en
dc.identifier.doi10.14232/ejqtde.2020.1.72cs
dc.identifier.issn1417-3875cs
dc.identifier.orcid0000-0002-2452-2204cs
dc.identifier.other167823cs
dc.identifier.researcheridN-3315-2019cs
dc.identifier.scopus7102264947cs
dc.identifier.urihttp://hdl.handle.net/11012/196453
dc.language.isoencs
dc.publisherUniversity of Szegedcs
dc.relation.ispartofElectronic Journal of Qualitative Theory of Differential Equationscs
dc.relation.urihttp://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=8939cs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1417-3875/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectsecond order nonlinear difference equationsen
dc.subjectEuclidean mean curvature operatoren
dc.subjectboundary value problemsen
dc.subjectdecaying solutionsen
dc.subjectrecessive solutionsen
dc.subjectcomparison theoremsen
dc.titleDecaying positive global solutions of second order difference equations with mean curvature operatoren
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-167823en
sync.item.dbtypeVAVen
sync.item.insts2025.02.03 15:48:52en
sync.item.modts2025.01.17 16:54:42en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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