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Abstract
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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

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.