Exact Solutions of System of Fourth-Order Difference Equations

Abstract

In this paper, we derive the solutions of system difference equationsxn+1 = xn−1yn−3 / yn−1(a + bxn−1yn−3), yn+1 = yn−1xn−3 / xn−1(c + dyn−1xn−3), n∈N0,where the parameters a, b, c, d are real numbers and the initial conditions x−i and y−i for (i = 0, 1, 2, 3) are non zero real numbers.