Discrete Dynamics in Nature and Society
Volume 2009 (2009), Article ID 608976, 8 pages
doi:10.1155/2009/608976

On the Recursive Sequence xn=A+xn−kp/xn−1r

Abstract

This paper studies the dynamic behavior of the positive solutions to the difference equation xn=A+xn−kp/xn−1r, n=1,2,…, where A,p, and r are positive real numbers, and the initial conditions are arbitrary positive numbers. We establish some results regarding the stability and oscillation character of this equation for p∈(0,1).