We investigate the global attractivity of the equilibrium of second-order difference equation where the parameters p, q, q < p and initial conditions x _− 1, x ₀ are nonnegative for all n. We prove that the unique equilibrium of this equation is global attractor which gives the affirmative answer to a conjecture of Kulenović and Ladas.

The method of proof is innovative, and it has the potential to be used in the proof of global attractivity of equilibria of many similar equations.