Kara, MerveYazlık, YasinTollu, Durhasan Turgut2021-06-092021-06-0920202651-477Xhttps:/dx.doi.org/10.15672/hujms.474649https://hdl.handle.net/20.500.12451/8098*Kara, Merve ( Aksaray, Yazar )In this paper we show that the system of difference equations xn = ayn-k + dyn-kxn-(k+l)/bxn-(k+l) + cyn-l, yn = ?xn-k + ?xn-kyn-(k+l)/?yn-(k+l) + ?xn-l, where n ? ?0, k and l are positive integers, the parameters a, b, c, d, ?, ?, ?, ? are real numbers and the initial values x-j, y-j, j = 1, k + l, 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.eninfo:eu-repo/semantics/openAccessAsymptotic BehaviorFibonacci SequenceForbidden SetSystem of Difference EquationsArticle4951566159310.15672/hujms.474649Q2WOS:000581099500002Q3