Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 675413, 13 pages
doi:10.1155/2010/675413
On the Max-Type Difference Equation xn+1=max{A/xn,xn−3}
Bratislav D. Iričanin1
and E.M. Elsayed2
1Faculty of Electrical Engineering, University of Belgrade, Bulevar Kralja Aleksandra 73, Belgrade 11120, Serbia
2Department of Mathematics, Faculty of Science, Mansoura University, Mansoura 35516, Egypt
Abstract
We show that every well-defined solution of the fourth-order difference equation xn+1=max{A/xn,xn−3}, n∈ℕ0, where parameter A≥0, is eventually periodic with period four.