Advances in Difference Equations 
Volume 2006 (2006), Article ID 82579, 10 pages
doi:10.1155/ADE/2006/82579

On the Difference equation xn+1=axn−bxn/(cxn−dxn−1)

E. M. Elabbasy, H. El-Metwally, and E. M. Elsayed

 Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Received 14 June 2006; Revised 3 September 2006; Accepted 26 September 2006

Abstract

We investigate some qualitative behavior of the solutions of the difference equation xn+1=axn−bxn/(cxn−dxn−1), n=0,1,…, where the initial conditions x−1, x0 are arbitrary real numbers and a, b, c, d are positive constants.