Solvability of a system of higher order nonlinear difference equations

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dc.contributor.authorKara, Merve
dc.contributor.authorYazlik, Yasin
dc.contributor.authorTollu, Durhasan Turgut
dc.date.accessioned2024-02-23T14:30:04Z
dc.date.available2024-02-23T14:30:04Z
dc.date.issued2020
dc.departmentNEÜen_US
dc.description.abstractIn this paper we show that the system of difference equations x(n) = ay(n-k) + d(yn)-k(xn)-(k+l)/bx(n)-(k+l) + cy(n-l), y(n) = ax(n)-k + delta x(n)-ky(n)-(k+l)/beta y(n)-(k+l) +gamma x(n-l), where n is an element of N-0, k and l are positive integers, the parameters a, b, c, d, alpha, beta,gamma, delta are real numbers and the initial values x(-j), y(-j), j = (1, k + l$$) over bar, are real numbers, can be solved in the closed form. We also determine the asymptotic behavior of solutions for the case l = 1 and describe the forbidden set of the initial values using the obtained formulas. Our obtained results significantly extend and develop some recent results in the literature.en_US
dc.identifier.doi10.15672/hujms.474649
dc.identifier.endpage1593en_US
dc.identifier.issn2651-477X
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85092901185en_US
dc.identifier.startpage1566en_US
dc.identifier.urihttps://doi.org/10.15672/hujms.474649
dc.identifier.urihttps://hdl.handle.net/20.500.12452/14999
dc.identifier.volume49en_US
dc.identifier.wosWOS:000581099500002en_US
dc.identifier.wosqualityQ3en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherHacettepe Univ, Fac Scien_US
dc.relation.ispartofHacettepe Journal Of Mathematics And Statisticsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectSystem Of Difference Equationsen_US
dc.subjectAsymptotic Behavioren_US
dc.subjectFibonacci Sequenceen_US
dc.subjectForbidden Seten_US
dc.titleSolvability of a system of higher order nonlinear difference equationsen_US
dc.typeArticleen_US

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