Abstract

This paper studies the behavior of positive solutions of the recursive equation with 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 Kulenović and Ladas, 2002 Dynamics of Second Order Rational Difference Equations. With Open Problems and Conjectures (Boca Raton:Chapman and Hall/CRC).

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