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  • Research Article
  • Open Access

On a (2,2)-rational recursive sequence

Advances in Difference Equations20052005:415435

  • Received: 26 April 2004
  • Published:


We investigate the asymptotic behavior of the recursive difference equation yn+1 = (α+βy n )/(1+yn-1) when the parameters α < 0 and β . In particular, we establish the boundedness and the global stability of solutions for different ranges of the parameters α and β. We also give a summary of results and open questions on the more general recursive sequences yn+1 = (a + by n )/(A + Byn-1), when the parameters a, b, A, B and abAB ≠ 0.

Authors’ Affiliations

Department of Mathematics and Statistics, Sultan Qaboos University, P.O. Box 36, Muscat 123, Al-Khodh, Oman
Department of Mathematics, Faculty of Science, Cairo University, Giza, 12613, Egypt


© Ben Rhouma et al. 2005