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

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

Fangkuan Sun, Xiaofan Yang, and Chunming Zhang

College of Computer Science, Chongqing University, Chongqing 400044, China

Received 15 December 2008; Accepted 7 May 2009

Academic Editor: Guang Zhang

Copyright © 2009 Fangkuan Sun 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

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).