Taskara, Necati.Tollu, Durhasan T.Touafek, Nouressadat.Yazlik, Yasin.2020-03-262020-03-262020Taskara, N., Tollu, D. T., Touafek, N., Yazlik, Y. (2020). A Solvable System of Difference Equations. Communications of the Korean Mathematical Society, 35(1), 301-319.1225-17632234-3024https://dx.doi.org/10.4134/CKMS.c180472https://hdl.handle.net/20.500.12395/38500In 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.en10.4134/CKMS.c180472info:eu-repo/semantics/openAccessDifference equationssolution in closed-formforbidden setasymptotic behaviourArticle351301319#YOKWOS:000508684900022N/A