Existence Of Solutions For Some Classes Of Nonlinear Impulsive Differential Equations

In this paper,we study the existence and multiplicity of solutions for some classes of nonlinear impulsive differential Equations,and obt ain some sufficient con-ditions of existence for the solution of the equations.This paper consists of four chapters.In Chapter 1,we briefly introduce the research background,research content and main work of this paper.In Chapter 2,we discuss the existence of the solution of the second order non-linear impulse integral differential equation with sturm-liouville boundary value in Banach space,and the noncompact measure theory and fixed point theorem arc used to obtain the result of the solution of equations.In Chapter 3,We study the existence of positive solutions of an infinite bound-ary value problem for nth-order nonlinear impulsive singular integro-differential e-quations,obtain the sufficient condition of the solution of the equation with the fixed point theorem,and give an understanding of the iterative sequence and the error estimate of the iterative sequence of the solution under certain condition.In Chapter 4,we study the existence and multiplicity of symmetric positive solutions for nonlinear boundary value problems with p-Laplacian operater.Using cone a tensile fixed point theorems are given boundary value problem for one or two new results of the existence of positive solution or symmetric positive solution.