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  • Research Article
  • Open Access

On the recursive sequence

Advances in Difference Equations20052005:548479

  • Received: 12 January 2004
  • Published:


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, Aghia Paraskevi, Athens, 15342, Greece
Department of Mathematics, Northwestern State University of Louisiana, Natchitoches, LA 71497, USA
Department of Electrical and Computer Engineering, Democritus University of Thrace, Xanthi, 67100, Greece


© Camouzis et al. 2005