In this paper we study the globally asymptotic stability of the equilibrium point for the nonlinear difference equation where the initial conditions x<inf>−r</inf>, x<inf>−r+1</inf>, ⋯ , x<inf>1</inf>, x<inf>0</inf> are arbitrary positive real numbers. l, k, s, t are nonnegative integers, r = max{l, k, s, t}, and a, b, c are positive constants. Finally… (More)