摘要：In this paper, we deal with the existence of solutions and the periodicity character of the following systems of rational difference equations with order three: x n + 1 = x n y n − 2 y n − 1 ( ± 1 ± x n y n − 2 ) , y n + 1 = y n x n − 2 x n − 1 ( ± 1 ± y n x n − 2 ) , where the initial conditions x − 2 , x − 1 , x 0 , y − 2 , y − 1 and y 0 are nonzero real numbers. MSC:39A10.
关键词：difference equations ; periodic solution ; solution of difference equation ; system of difference equations
