Existence Of Solutions For Boundary Value Problems Of Impulsive Differential Equations

This thesis is concerned with existence of solutions for a class of impulsive differential equations with boundary conditions.The thesis contains four parts.Chapter 1 introduces backgrounds and significance of boundary value problems for differential equations with impulse.The main work done in this paper is introduced.Chapter 2 we deal with the existence of solutions of Two Order Singular Impulsive Differential Equations with nonlinear boundary conditions.And under suitable conditions we overcome the singularity of f(t, y) at y = 0, some results of existence are obtained by using fixed point index theory.Chapter 3 by using the Banach fixed-point theorem we consider the existence of solutions of fractional order(1 < α ≤ 2) impulsive differential equations with multi-point boundary conditions.Chapter 4 applying for upper and lower solution method and Schauder fixed point method,we discuss the existence of solutions of fractional order impulsive differential equations with P-Laplacian operators.