| This paper is concerned with dynamical behaviors of some higher order nonlinear difference equations. By using qualitative and stability theory of nonlinear difference equations together with some inequality techniques, we study the existence, stability and attractivity of equilibria, and the boundedness, periodic character, the global attractivity and the global asymptotic stability of all positive solutions of some higher order nonlinear difference equations .In Chapter 2. the global attractivity of the recursive sequenceis investigated, we show that one positive equilibrium point of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.In Chapter 3. the stability and the periodic nature of the positive solutions ofare considered, we will prove that there exist monotonical solutions and converge to the unique positive equilibrium point of the equation ifα≠β.In Chapter 4. the global stability of the equationis concerned, where F = f(xn-r1,xn-r2,…,xn-rk),G = g(xn-m1,xn-m2,…,xn-ml). H =h(xn-p1,xn-p2,…,xn-pi)we give sufficient conditions under which the unique equilibrium x= 1 of this equation is globally asymptotically stable.
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