GLOBAL ATTRACTIVITY OF A RATIONAL DIFFERENCE EQUATION

In this paper we will discuss the global attractivity of difference equation ????????+1 = ????−∝ ????????−???? ???? + ???????? , ???? = 0,1,2, . . . (0.1) Where ???? ∈ (0, ∞), ???? ∈ (−∞, 0) , ????−???? , ????−????+1 , … , ????0 ∈ (−∞ ,0),  is non-negative real number and k is a positive integer. For unique negative equilibrium point of equation (1.1), we will prove that it is a global attractor of equation with certain conditions.