Open Access

On the recursive sequence

Advances in Difference Equations20052005:548479

Received: 12 January 2004

Published: 14 March 2005


Our aim in this paper is to investigate the boundedness, global asymptotic stability, and periodic character of solutions of the difference equation xn+1 = (γxn-1 + δxn-2)/(x n + xn-2), n = 0,1,..., where the parameters γ and δ and the initial conditions are positive real numbers.

Authors’ Affiliations

Department of Mathematics, Deree College, The American College of Greece
Department of Mathematics, Northwestern State University of Louisiana
Department of Electrical and Computer Engineering, Democritus University of Thrace


© Camouzis et al. 2005