Global behavior of two-dimensional difference equations system with two period coefficients

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dc.contributor.authorKara, Merve
dc.contributor.authorTollu, Durhasan Turgut
dc.contributor.authorYazlık, Yasin
dc.date.accessioned2021-06-28T08:11:35Z
dc.date.available2021-06-28T08:11:35Z
dc.date.issued2020
dc.departmentOrtaköy Meslek Yüksekokulu
dc.description*Kara, Merve ( Aksaray, Yazar )
dc.description.abstractIn this paper, we investigate the following system of difference equations x(n+1) = alpha(n)/1 + y(n)x(n-1), y(n+1) = beta(n)/1 + x(n)y(n-1), n is an element of N-0, where the sequences (alpha(n))(n is an element of N0), (beta(n))(n is an element of N0) are positive, real and periodic with period two and the initial values x(-1), x(0), y(-1), y(0) are non-negative real numbers. We show that every positive solution of the system is bounded and examine their global behaviors. In addition, we give closed forms of the general solutions of the system by using the change of variables. Finally, we present a numerical example to support our results.
dc.identifier.endpage64en_US
dc.identifier.issue4en_US
dc.identifier.startpage49en_US
dc.identifier.urihttps://hdl.handle.net/20.500.12451/8197
dc.identifier.volume13en_US
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherTbilisi Center for Mathematical Sciences
dc.relation.ispartofTbilisi Mathematical Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.subjectGlobal Behavior
dc.subjectSolution in Closed Form
dc.subjectSystem of Difference Equations
dc.titleGlobal behavior of two-dimensional difference equations system with two period coefficients
dc.typeArticle

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