Open Access

On the recursive sequence

Advances in Difference Equations20052005:548479

https://doi.org/10.1155/ADE.2005.31

Received: 12 January 2004

Published: 14 March 2005

Abstract

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

(1)
Department of Mathematics, Deree College, The American College of Greece
(2)
Department of Mathematics, Northwestern State University of Louisiana
(3)
Department of Electrical and Computer Engineering, Democritus University of Thrace

Copyright

© Camouzis et al. 2005