Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 24385, 18 pages
doi:10.1155/2007/24385
Research Article

New Integral Inequalities for Iterated Integrals with Applications

Ravi P. Agarwal,1 Cheon Seoung Ryoo,2 and Young-Ho Kim3

 1Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne 32901-6975, FL, USA
2Department of Mathematics, Hannam University, Daejeon 306-791, South Korea
3Department of Applied Mathematics, Changwon National University, Changwon 641-773, Kyungnam, South Korea
Received 20 September 2007; Accepted 15 November 2007

Recommended by Sever S. Dragomir

Abstract

Some new nonlinear retarded integral inequalities of Gronwall type are established. These inequalities can be used as basic tools in the study of certain classes of integrodifferential equations.