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)
Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Received 14 June 2006; Revised 3 September 2006; Accepted 26 September 2006
Copyright © 2006 E. M. Elabbasy et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.