Advances in Difference Equations
Volume 2009 (2009), Article ID 708587, 8 pages
doi:10.1155/2009/708587
Research Article

Estimation on Certain Nonlinear Discrete Inequality and Applications to Boundary Value Problem

Wu-Sheng Wang

Department of Mathematics, Hechi University, Guangxi, Yizhou 546300, China

Received 1 November 2008; Accepted 14 January 2009

Academic Editor: John Graef

Copyright © 2009 Wu-Sheng Wang. 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 investigate certain sum-difference inequalities in two variables which provide explicit bounds on unknown functions. Our result enables us to solve those discrete inequalities considered by Sheng and Li (2008). Furthermore, we apply our result to a boundary value problem of a partial difference equation for estimation.