Open Access

Bounds for Certain Delay Integral Inequalities on Time Scales

Journal of Inequalities and Applications20082008:831817

DOI: 10.1155/2008/831817

Received: 31 August 2008

Accepted: 22 October 2008

Published: 30 October 2008

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.

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Authors’ Affiliations

(1)
Department of Applied Mathematics, Shanghai Normal University
(2)
Department of Mathematics, Binzhou University

Copyright

© Wei Nian Li. 2008

This article is published under license to BioMed Central Ltd. 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.