Discrete Dynamics in Nature and Society
Volume 2011 (2011), Article ID 320794, 12 pages
http://dx.doi.org/10.1155/2011/320794
Research Article

Nonlinear Dynamical Integral Inequalities in Two Independent Variables and Their Applications

School of Mathematics, University of Jinan, Jinan, Shandong 250022, China

Received 25 May 2011; Accepted 17 July 2011

Academic Editor: Hassan A. El-Morshedy

Copyright © 2011 Yuangong Sun. 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

In this paper, we investigate some nonlinear dynamical integral inequalities involving the forward jump operator in two independent variables. These inequalities provide explicit bounds on unknown functions, which can be used as handy tools to study the qualitative properties of solutions of certain partial dynamical systems on time scales pairs.