Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type

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dc.contributor.authorDiblík, Josefcs
dc.contributor.authorKorobko, Evgeniyacs
dc.coverage.issue1cs
dc.coverage.volume12cs
dc.date.accessioned2023-10-09T06:57:13Z
dc.date.available2023-10-09T06:57:13Z
dc.date.issued2023-10-06cs
dc.description.abstractThe article investigates a second-order nonlinear difference equation of Emden-Fowler type. New conditions with respect to parameters of equation are found such that the equation admits a solution asymptotically represented by a power function that is asymptotically equivalent to the exact solution of the nonlinear second-order differential Emden-Fowler equation. Two-term asymptotic representations are given not only for the solution itself but also for its first- and second-order forward diffrences as well. Previously known results are discussed, and illustrative examples are considered.en
dc.formattextcs
dc.format.extent1-23cs
dc.format.mimetypeapplication/pdfcs
dc.identifier.citationAdvances in Nonlinear Analysis. 2023, vol. 12, issue 1, p. 1-23.en
dc.identifier.doi10.1515/anona-2023-0105cs
dc.identifier.issn2191-950Xcs
dc.identifier.orcid0000-0001-5009-316Xcs
dc.identifier.orcid0000-0002-3102-8394cs
dc.identifier.other184822cs
dc.identifier.researcheridD-3530-2014cs
dc.identifier.researcheridABH-1170-2020cs
dc.identifier.scopus6701633618cs
dc.identifier.urihttp://hdl.handle.net/11012/214136
dc.language.isoencs
dc.publisherDe Gruytercs
dc.relation.ispartofAdvances in Nonlinear Analysiscs
dc.relation.urihttps://www.degruyter.com/document/doi/10.1515/anona-2023-0105/htmlcs
dc.rightsCreative Commons Attribution 4.0 Internationalcs
dc.rights.accessopenAccesscs
dc.rights.sherpahttp://www.sherpa.ac.uk/romeo/issn/2191-950X/cs
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/cs
dc.subjectDiscrete equationen
dc.subjectEmden-Fowler equationen
dc.subjectequation of the second-orderen
dc.subjectasymptotic behavioren
dc.subjectnonlinearityen
dc.titleAsymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler typeen
dc.type.driverarticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen
sync.item.dbidVAV-184822en
sync.item.dbtypeVAVen
sync.item.insts2023.11.17 04:59:20en
sync.item.modts2023.11.17 04:16:34en
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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