Periodic solutions of the rational difference equation.

This paper studies the behavior of positive solutions of the recursive equationwith We prove that every positive solution { y i } converges to a period two solution or to the equilibrium . This result answers Open Problem 11.4.8 (a) in Kulenovic and Ladas, 2002 Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures (Boca Raton:Chapman and Hall/CRC). [ABSTRACT FROM AUTHOR]