Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 430512, 18 pages
doi:10.1155/2010/430512
Research Article

A Note on the Integral Inequalities with Two Dependent Limits

Allaberen Ashyralyev,1,2 Emine Misirli,3 and Ozlem Mogol3

1Department of Mathematics, Fatih University, Buyukcekmece, 34500 Istanbul, Turkey
2Department of Mathematics, ITTU, 74200 Ashgabat, Turkmenistan
3Department of Mathematics, Ege University, 35100 Bornova-Izmir, Turkey

Received 4 October 2009; Revised 28 April 2010; Accepted 5 July 2010

Academic Editor: Martin Bohner

Copyright © 2010 Allaberen Ashyralyev et al. 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

The theorem on the Gronwall's type integral inequalities with two dependent limits is established. In application, the boundedness of the solutions of nonlinear differential equations is presented.