Journal of Applied Mathematics
Volume 2011 (2011), Article ID 659563, 18 pages
Research Article

Some New Delay Integral Inequalities in Two Independent Variables on Time Scales

School of Science, Shandong University of Technology, Zibo, Shandong 255049, China

Received 9 August 2011; Accepted 10 October 2011

Academic Editor: C. Conca

Copyright © 2011 Bin Zheng 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.


Some new Gronwall-Bellman-type delay integral inequalities in two independent variables on time scales are established, which can be used as a handy tool in the research of boundedness of solutions of delay dynamic equations on time scales. Some of the established results are 2D extensions of several known results in the literature, while some results unify existing continuous and discrete analysis.