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Öğe A solvable system of difference equations(KOREAN MATHEMATICAL SOC, 2020) Taskara, Necati.; Tollu, Durhasan T.; Touafek, Nouressadat.; Yazlik, Yasin.In 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.
