Solutions To Boundary Value Problems Of Several Classes Of Nonlinear Differential Equations

The initial value problems and boundary value problems of nonlinear differential equations are widely used in many fields such as physics,economics and mathematics.In this paper,the solutions of nonlinear differential equations with special initial value conditions are studied by using Banach contraction mapping principle and Schaefer fixed point theorem.The whole text is composed of four chapters.The main contents are as follows.In chapter 1,we describe the research background of nonlinear differential equations and impulsive differential equations with special boundary value conditions.In chapter 2,the following impulsive boundary value problems are studied.In chapter 3,the following impulsive boundary value problems are studied.In chapter 4,the existence of solutions the first-order nonlinear differential equations with integral multi-point boundary value problem is discussed.The last chapter gives the summary and the prospect of future work.