nOn the Higher Order Difference equation xn+1= Axn + Bxn ¡ l + Cxn ¡ k + γxn ¡ k/Dxn ¡ s + Exn ¡ t.

The main objective of this paper is to study the global stability of the positive solutions, the boundedness and the periodic character of the difference equation xn+1 = Axn + Bxn ¡ l + Cxn ¡ k + γxn ¡ k/Dxn ¡ s + Exn ¡ t, n=0, 1, ..., where the parameters A, B, C, D, E,γ ∊ (0,∞) and the initial conditions x¡ σ, x¡ σ+1,..., x¡1, x0 are positive real numbers where σ= max{l, k, s, t}. Numerical examples will be given to explicate our results. [ABSTRACT FROM AUTHOR]