Continuous dependence for impulsive functional dynamic equations involving variable time scales

Using a known correspondence between the solutions of impulsive measure functional differential equations and the solutions of impulsive functional dynamic equations on time scales, we prove that the limit of solutions of impulsive functional dynamic equations over a convergent sequence of time scales converges to a solution of an impulsive functional dynamic equation over the limiting time scale. The fact that solutions of dynamic equations on time scales depend continuously on time scales is a problem that has been investigated by several researchers. See [1,5,10], for instance. In these papers, the authors prove that the sequence of solutions of the problem