Asymptotic convergence of the solutions of a dynamic equation on discrete time scales

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dc.contributor.authorDiblík, Josefcs
dc.contributor.authorRůžičková, Miroslavacs
dc.contributor.authorŠmarda, Zdeněkcs
dc.contributor.authorŠutá, Zuzanacs
dc.coverage.issueID 580750cs
dc.coverage.volume2012cs
dc.date.issued2012-01-03cs
dc.description.abstractIt is proved that, for the asymptotic convergence of all solutions, the existence of an increasing and asymptotically convergent solution is sufficient. Therefore, the main attention is paid to the criteria for the existence of an increasing solution asymptotically convergent for n goes to infinity. The results are presented as inequalities for the function beta. Examples demonstrate that the criteria obtained are sharp in a sense.en
dc.description.abstractIt is proved that, for the asymptotic convergence of all solutions, the existence of an increasing and asymptotically convergent solution is sufficient. Therefore, the main attention is paid to the criteria for the existence of an increasing solution asymptotically convergent for n goes to infinity. The results are presented as inequalities for the function beta. Examples demonstrate that the criteria obtained are sharp in a sense.en
dc.formattextcs
dc.format.extent1-20cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAbstract and Applied Analysis. 2012, vol. 2012, issue ID 580750, p. 1-20.en
dc.identifier.doi10.1155/2012/580750cs
dc.identifier.issn1085-3375cs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.orcid0000-0002-9559-6630cs
dc.identifier.other74921cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.researcheridAAA-1702-2022cs
dc.identifier.scopus6701633618cs
dc.identifier.scopus23973557200cs
dc.identifier.urihttp://hdl.handle.net/11012/137070
dc.language.isoencs
dc.publisherHindawics
dc.relation.ispartofAbstract and Applied Analysiscs
dc.relation.urihttps://www.hindawi.com/journals/aaa/2012/580750/cs
dc.rightsCreative Commons Attribution 3.0 Unportedcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/1085-3375/cs
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/cs
dc.subjectdifference equationen
dc.subjectasymptotically convergent solutionen
dc.subjectauxiliary inequalityen
dc.subjectdifference equation
dc.subjectasymptotically convergent solution
dc.subjectauxiliary inequality
dc.titleAsymptotic convergence of the solutions of a dynamic equation on discrete time scalesen
dc.title.alternativeAsymptotic convergence of the solutions of a dynamic equation on discrete time scalesen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-74921en
sync.item.dbtypeVAVen
sync.item.insts2025.10.14 14:10:07en
sync.item.modts2025.10.14 09:46:28en
thesis.grantorVysoké učení technické v Brně. Fakulta stavební. Ústav matematiky a deskriptivní geometriecs
thesis.grantorVysoké učení technické v Brně. Fakulta elektrotechniky a komunikačních technologií. Ústav matematikycs
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