On Some Solvable Systems of Some Rational Difference Equations of Third Order

Our aim in this paper is to obtain formulas for solutions of rational difference equations such as xn+1=1±xn−1yn/1−yn,yn+1=1±yn−1xn/1−xn, and xn+1=1±xn−1yn−2/1−yn,yn+1=1±yn−1xn−2/1−xn, where the initial conditions x−2, x−1, x0, y−2, y−1, y0 are non-zero real numbers. In addition, we show that some these systems periodic with different periods. We also verify our theoretical outcomes at end numerical applications draw it by using mathematical programs illustrate results.