Abstract
In this paper, we study the behavior of the following rational difference equation with big order
x(n+1) = ax(n-l) + bx(n-k)+cx(n-s)/dx(n-t)/ex(n-s)+fx(n-t).
where the parameters a, b, c, d, e and f are positive real numbers and the initial conditions x(-r), x(-r+1) center dot center dot center dot, x(-1) and x(0) are positive real numbers where r = max{l, k, s,t}