Global Behavior of the Difference Equationxn+1=(p+xn-1)/(

We study the following difference equation x n + 1 = ( p + x n - 1 ) / ( q x n + x n - 1 ) , n = 0,1 , … , where p , q ∈ ( 0 , + ∞ ) and the initial conditions x - 1 , x 0 ∈ ( 0 , + ∞ ) . We show that every positive solution of the above equation either converges to a finite limit or to a two cycle, which confirms that the Conjecture 6.10.4 proposed by Kulenović and Ladas (2002) is true.