The nature of solutions of the difference equation x = max {A/xn-2,B/xn-3(Alpha)}

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dc.authorid0000-0003-0814-8678en_US
dc.contributor.authorGelişken, Ali
dc.contributor.authorÇınar, C.
dc.contributor.authorKarataş, R.
dc.contributor.authorKurbanlı, A. S.
dc.contributor.editorAshyralyev, A
dc.contributor.editorLukashov, A
dc.date.accessioned2019-12-06T21:02:16Z
dc.date.available2019-12-06T21:02:16Z
dc.date.issued2012
dc.departmentKMÜ, Kamil Özdağ Fen Fakültesi, Matematik Bölümüen_US
dc.description1st International Conference on Analysis and Applied Mathematics (ICAAM) -- OCT 18-21, 2012 -- Gumushane, TURKEYen_US
dc.descriptionWOS:000309524400012en_US
dc.description.abstractWe consider positive solutions of the difference equation x(n) = max {A/x(n-2),B/x(n-3)(alpha)},n >= 0, where A >= 0, B >= 0, 0 < alpha <= 1 and the initial conditions x(-1), x(-2), x(-3) are arbitrary positive real numbers. We show that every positive solution of this difference equation approaches <(x)over bar> = root B or is eventually periodic with period 4, 5 or 6. Also, this work confirms partially the conjecture proposed in [18].en_US
dc.description.sponsorshipSci & Technol Res Council Turkey (TUBITAK), Gumushane Univ, Fatih Univen_US
dc.identifier.citationGelişken, A., Çınar, C., Karataş, R., Kurbanlı, A. S., Ashyralyev, A., Lukashov, A. (2012). The nature of solutions of the difference equation x = max {A/xn-2,B/xn-3(alpha)}. First International Conference On Analysis And Applied Mathematics (ICAAM 2012).
dc.identifier.doi10.1063/1.4747636
dc.identifier.endpage52en_US
dc.identifier.isbn978-0-7354-1077-0
dc.identifier.issn0094-243X
dc.identifier.scopus2-s2.0-84873274974
dc.identifier.scopusqualityQ4
dc.identifier.startpage50en_US
dc.identifier.urihttps://dx.doi.org/10.1063/1.4747636
dc.identifier.urihttps://hdl.handle.net/11492/2239
dc.identifier.volume1470en_US
dc.identifier.wosWOS:000309524400012
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Sceince
dc.indekslendigikaynakScopus
dc.institutionauthorGelişken, Ali
dc.language.isoen
dc.publisherAmer Inst Physicsen_US
dc.relation.ispartofseriesAIP Conference Proceedings
dc.relation.journalFirst International Conference On Analysis And Applied Mathematics (ICAAM 2012)en_US
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectMax Operatoren_US
dc.subjectDifference Equationen_US
dc.subjectPositive Solutionen_US
dc.subjectStabilityen_US
dc.subjectPeriodicityen_US
dc.titleThe nature of solutions of the difference equation x = max {A/xn-2,B/xn-3(Alpha)}en_US
dc.typeConference Object

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