Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 209309, 13 pages
doi:10.1155/2010/209309
Research Article

Oscillatory Criteria for the Two-Dimensional Difference Systems

Jin-Fa Cheng1 and Yu-Ming Chu2

1Department of Mathematics, Xiamen University, Xiamen 361005, China
2Department of Mathematics, Huzhou Teachers College, Huzhou 313000, China

Received 5 April 2010; Revised 3 June 2010; Accepted 17 June 2010

Academic Editor: Alberto Cabada

Copyright © 2010 Jin-Fa Cheng and Yu-Ming Chu. 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 establish some necessary and sufficient conditions for oscillation of the solutions of the following two-dimensional difference system: Δxn=f(n,yn), Δyn=−g(n,xn), where f(n,u) and g(n,u) are strongly superlinear or sublinear functions.