On a system of rational difference equations

WOS:000392909200001In this paper, we investigate behaviors of well-defined solutions of the following system x(n+1) = A(1)y(n-(3k-1))/B-1 + C(1)y(n-(3k-1))x(n-(2k-1)))y(n-(k-1)), y(n+1) = A(2)x(n-(3k-1))/B-2 + C(2)x(n-(3k-1))y(n-(2k-1)))x(n-(k-1)), where n is an element of N-0, k is an element of Z(+) the coefficients A(1), A(2), B-1,B- B2, C-1, C-2 and the initial conditions are arbitrary real numbers