Taskara, NecatiTollu, Durhasan T.Touafek, NouressadatYazlik, Yasin2024-02-232024-02-2320201225-17632234-3024https://doi.org/10.4134/CKMS.c180472https://hdl.handle.net/20.500.12452/16304In this paper, we show that the system of difference equations x(n) = ay(n-1)(p) + b(x(n-2)y(n-1))(p-1)/cy(n-1) + dx(n-2)(p-1), y(n) = alpha x(n-1)(p) + beta(y(n-2)x(n-1))(p-1)/gamma x(n-1) + delta y(n-2)(p-1), n is an element of N-0 where the parameters a, b, c, d, alpha, beta, gamma, delta, p and the initial values x(-2) , x(-1), y(-2), y(-1) are real numbers, can be solved. Also, by using obtained formulas, we study the asymptotic behaviour of well-defined solutions of aforementioned system and describe the forbidden set of the initial values. Our obtained results significantly extend and develop some recent results in the literature.eninfo:eu-repo/semantics/closedAccessDifference EquationsSolution In Closed-FormForbidden SetAsymptotic BehaviourArticle3513013192-s2.0-85082331235Q3WOS:00050868490002210.4134/CKMS.c180472