Abstract
In this paper we deal with the form of the solutions and the periodicity nature of the following systems of nonlinear difference equations
x(n+1) = x(n)-3y(n)-2/y(n)(+/- 1 +/- x(n)-1y(n)-2x(n)-3 , y(n+1) = x(n)-2y(n)-3/x(n)(+/- 1 +/- y(n)-1x(n)-2y(n-3),
where the initial conditions x-3, x-2, x-1, x0 Y-3; Y-2; Y-1; and y0 are nonzero real numbers.