On a two-dimensional nonlinear system of difference equations close to the bilinear system

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dc.contributor.authorStevic, Stevo
dc.contributor.authorTollu, Durhasan Turgut
dc.date.accessioned2024-02-23T14:37:31Z
dc.date.available2024-02-23T14:37:31Z
dc.date.issued2023
dc.departmentNEÜen_US
dc.description.abstractWe consider the two-dimensional nonlinear system of difference equations xn = xn-k ayn-l + byn-(k+l) cyn-l + dyn-(k+l) , yn = yn-k & alpha;xn-l + & beta;xn-(k+l) , & gamma;xn-l + & delta;xn-(k+l) for n E N0, where the delays k and l are two natural numbers, and the initial values x- j, y- j, 1 < j < k+l, and the parameters a, b, c, d, & alpha;, & beta;, & gamma;, & delta; are real numbers. We show that the system of difference equations is solvable by presenting a method for finding its general solution in detail. Bearing in mind that the system of equations is a natural generalization of the corresponding one-dimensional difference equation, whose special cases appear in the literature from time to time, our main result presented here also generalizes many results therein.en_US
dc.identifier.doi10.3934/math.20231048
dc.identifier.endpage20575en_US
dc.identifier.issn2473-6988
dc.identifier.issue9en_US
dc.identifier.scopus2-s2.0-85163038204en_US
dc.identifier.startpage20561en_US
dc.identifier.urihttps://doi.org/10.3934/math.20231048
dc.identifier.urihttps://hdl.handle.net/20.500.12452/16143
dc.identifier.volume8en_US
dc.identifier.wosWOS:001024177700008en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherAmer Inst Mathematical Sciences-Aimsen_US
dc.relation.ispartofAims Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectNonlinear System Of Difference Equationsen_US
dc.subjectSolvable Systemen_US
dc.subjectClosed-Form Formulaen_US
dc.titleOn a two-dimensional nonlinear system of difference equations close to the bilinear systemen_US
dc.typeArticleen_US

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