Discrete Dynamics in Nature and Society
Volume 2010 (2010), Article ID 171234, 6 pages
doi:10.1155/2010/171234
Research Article

Oscillation Criteria of Solution for a Second Order Difference Equation with Forced Term

Chen Huiqin1 and Jin Zhen2

1School of Mathematics and Computer Sciences, Datong University, Datong, Shanxi 037009, China
2Department of Mathematics, North University of China, Taiyuan, Shanxi 030051, China

Received 24 April 2010; Accepted 21 October 2010

Academic Editor: Guang Zhang

Copyright © 2010 Chen Huiqin and Jin Zhen. 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 will consider oscillation criteria for the second order difference equation with forced term Δ ( 𝑎 𝑛 Δ ( 𝑥 𝑛 + 𝜆 𝑥 𝑛 − 𝜏 ) ) + 𝑞 𝑛 𝑥 𝑛 − 𝜎 = 𝑟 𝑛 ( 𝑛 ≥ 0 ). We establish sufficient conditions which guarantee that every solution is oscillatory or eventually positive solutions converge to zero.