Existence And Uniqueness Of Solutions For A Class Of The First Order Impulsive Dynamic Equations On Time Scales

In this thesis, we consider the nonlinear impulsive dynamic system on time scales. The existence and uniqueness of solution for a class of nonlinear impulsive dynamic equations on time scales is proved.The rest of the thesis is organized as follows. In chapter 2 and 3, we give some associated notions and preliminaries on time scales. The main results on existence and uniqueness of solutions are given in chapter 4.In section 4.1, the nonlinear Leray-Schauder Fixed Point Theorem is applied to prove the existence of the impulsive dynamic equations with the Global Lipschiz condition.In section 4.2, the Contraction Mapping Theorem is applied to prove the existence and uniqueness of the impulsive dynamic equations with the Local Lipschiz Condition.