On the solutions and behavior of rational difference equations
In this paper we study existence of solutions and the periodicity character of the following difference equations x(n+1) = x(n-2)x(n-3)x(n-4)/x(n)x(n-1) (+/- 1 +/- x(n-2)x(n-3)x(n-4)) where initial conditions are arbitrary nonzero real numbers such that the denominator is always nonzero. Also we investigate the behavior of the solutions of these equations.
difference equation equilibrium point periodic solution stability