Nonlinear Dynamic Integral Inequalities in two Independent Variables on Time Scale Pairs 1

We extend from the discrete case some nonlinear inequalities in two independent variables to a more general dynamic setting involving pairs of time scales. These inequalities provide explicit bounds on unknown functions, which can be useful in the study of qualitative properties of solutions of certain classes of dynamic equations on time scales. Several examples are provided. AMS subject classification: 26D15, 26D20, 39A12.