Form of solutions and periodicity for systems of difference equations
This paper is devoted to get the form of the solutions and the periodic nature of the following systems of rational difference equations x(n+1) = y(n-2)/-1 - y(n-2)x(n-1)y(n), y(n+1) = x(n-2)/+/- 1 +/- x(n-2)y(n-1)x(n), with initial conditions. x-2, x-1, x(0), y-2, y-1, y(0) are real numbers.
system of difference equations difference equations recursive sequence stability periodic solution