ON A GENERAL HOMOGENEOUS THREE-DIMENSIONAL SYSTEM OF DIFFERENCE EQUATIONS

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dc.contributor.authorTouafek, Nouressadat
dc.contributor.authorTollu, Durhasan Turgut
dc.contributor.authorAkrour, Youssouf
dc.date.accessioned2024-02-23T14:37:30Z
dc.date.available2024-02-23T14:37:30Z
dc.date.issued2021
dc.departmentNEÜen_US
dc.description.abstractIn this work, we study the behavior of the solutions of following three-dimensional system of difference equations x(n+1) = f(y(n), y(n-1)), y(n+1) = g (z(n), z(n-1)), z(n+1) = h(x(n), x(n-1)) where n is an element of N-0, the initial values x(-1), x(0), y(-1), y(0) z(-1), z(0) are positive real numbers, the functions f, g, h : (0, +infinity)(2) -> (0, +infinity) are continuous and homogeneous of degree zero. By proving some general convergence theorems, we have established conditions for the global stability of the corresponding unique equilibrium point. We give necessary and sufficient conditions on existence of prime period two solutions of the above mentioned system. Also, we prove a result on oscillatory solutions. As applications of the obtained results, some particular systems of difference equations defined by homogeneous functions of degree zero are investigated. Our results generalize some existing ones in the literature.en_US
dc.description.sponsorshipDGRSDT (MESRS-DZ)en_US
dc.description.sponsorshipThe authors thanks the two referees for their comments and suggestions. The work of N. Touafek and Y. Akrour was supported by DGRSDT (MESRS-DZ) .en_US
dc.identifier.doi10.3934/era.2021017
dc.identifier.endpage2876en_US
dc.identifier.issn2688-1594
dc.identifier.issue5en_US
dc.identifier.scopus2-s2.0-85118165914en_US
dc.identifier.startpage2841en_US
dc.identifier.urihttps://doi.org/10.3934/era.2021017
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16138
dc.identifier.volume29en_US
dc.identifier.wosWOS:000705630500001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofElectronic Research Archiveen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectGlobal And Local Stabilityen_US
dc.subjectHomogeneous Functionsen_US
dc.subjectOscillationen_US
dc.subjectPeriodicityen_US
dc.subjectSystems Of Difference Equationsen_US
dc.titleON A GENERAL HOMOGENEOUS THREE-DIMENSIONAL SYSTEM OF DIFFERENCE EQUATIONSen_US
dc.typeArticleen_US

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