Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 831817, 13 pages
doi:10.1155/2008/831817
Research Article

Bounds for Certain Delay Integral Inequalities on Time Scales

Wei Nian Li1,2

1Department of Applied Mathematics, Shanghai Normal University, Shanghai 200234, China
2Department of Mathematics, Binzhou University, Shandong 256603, China

Received 31 August 2008; Revised 21 October 2008; Accepted 22 October 2008

Academic Editor: Martin J. Bohner

Copyright © 2008 Wei Nian Li. 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

Our aim in this paper is to investigate some delay integral inequalities on time scales by using Gronwall's inequality and comparison theorem. Our results unify and extend some delay integral inequalities and their corresponding discrete analogues. The inequalities given here can be used as handy tools in the qualitative theory of certain classes of delay dynamic equations on time scales.