Integral Boundary Value Problems For First-Order Impulsive Differential Equations

This thesis mainly studies the existence of solutions for impulsive boundary value problems. It is consisted of four chapters.As the introductions, in Chapter 1, the background. and history of boundary value problems, and the main work of this paper are given.In Chapter 2, we focuses on the existence of soltions for first-order impulsive differential equations with integral boundary conditions. we establish several existence results by using upper and lower solutions method couped with monotone iterative technique. a comparsion result on a impulsive three-point boundary value problems,Chapter 3 concerns the anti-periodic boundary value problem for first-order impulsive differential equations.we establish several existence results by using upper and lower solutions method couped with monotone iterative technique.In chapter 4, we consider the integral boundary value problem for first order impulsive differential inclusions.Using a fixed-point theorem for condensing multivalued maps, upper and lower solution method ,we establish several results.