Periodic solutions in a linear delay difference system

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dc.contributor.authorČermák, Jancs
dc.contributor.authorFedorková, Luciecs
dc.contributor.authorNechvátal, Luděkcs
dc.coverage.issue10cs
dc.coverage.volume2025cs
dc.date.accessioned2025-05-27T09:57:16Z
dc.date.available2025-05-27T09:57:16Z
dc.date.issued2025-04-05cs
dc.description.abstractThe paper investigates periodicity properties of a linear autonomous difference system with two delayed terms. Assuming that the system matrices are simultaneously triangularizable, we formulate necessary and sufficient conditions guaranteeing the existence of a nonzero periodic solution (with an a priori given period) of the studied system. The analytical form of such conditions is shown to generalize the existing results on this topic. Moreover, it is supported by a geometric reformulation, offering a better understanding of the derived periodicity conditions. Information on the form of the searched periodic solution (including its prime period) is also provided.en
dc.formattextcs
dc.format.extent1-18cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationElectronic Journal of Qualitative Theory of Differential Equations. 2025, vol. 2025, issue 10, p. 1-18.en
dc.identifier.doi10.14232/ejqtde.2025.1.10cs
dc.identifier.issn1417-3875cs
dc.identifier.orcid0000-0002-6884-917Xcs
dc.identifier.orcid0000-0003-0775-3438cs
dc.identifier.other197855cs
dc.identifier.researcheridD-2542-2014cs
dc.identifier.researcheridD-2499-2014cs
dc.identifier.scopus6603213643cs
dc.identifier.urihttps://hdl.handle.net/11012/251067
dc.language.isoencs
dc.publisherBolyai Institute, University of Szegedcs
dc.relation.ispartofElectronic Journal of Qualitative Theory of Differential Equationscs
dc.relation.urihttps://www.math.u-szeged.hu/ejqtde/p11513.pdfcs
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.subjectdifference equationen
dc.subjectdelayen
dc.subjectperiodic solutionen
dc.titlePeriodic solutions in a linear delay difference systemen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-197855en
sync.item.dbtypeVAVen
sync.item.insts2025.05.27 11:57:16en
sync.item.modts2025.05.27 11:33:39en
thesis.grantorVysoké učení technické v Brně. Fakulta strojního inženýrství. Ústav matematikycs
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