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

Estimation on certain nonlinear discrete inequality and applications to boundary value problem

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.