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Discrete Dynamics in Nature and Society 
Volume 2007 (2007), Article ID 34517, 9 pages
doi:10.1155/2007/34517

Research Article

On the Recursive Sequence xn+1=A+xnp/xn−1p

Stevo Stević

Mathematical Institute of the Serbian Academy of Science, Knez Mihailova 35/I, Beograd 11000, Serbia

Received 4 July 2006; Revised 7 November 2006; Accepted 9 January 2007

Abstract

This paper studies the boundedness, global attractivity, and periodicity of the positive solutions of the difference equation xn+1=A+xnp/xn−1p, n∈ℕ0, with p,A∈(0,∞). The main results give a complete picture regarding the boundedness character of the positive solutions of the equation.