Global behavior of a higher order difference equation

In this paper we study the global behavior of the nonnegative equilibrium points of the difference equation xnC1 D Axn􀀀m B C C 2QkC1 iD0 xn􀀀i ; n D 0; 1; : : : where A; B; C are nonnegative parameters, initial conditions are nonnegative real numbers and k;m are nonnegative integers, m 2k C 1. Also we derive solutions of some special cases of this equation.