Existence Of Solutions For Several Impulsive Differential Equations With Nonlinear Boundary Conditions

The study of boundary value problems have not been stopped for a langtime.Impulsive differential equations arise from a wide variety of applications,suchas biotechnology, chemistry, population dynamics and so on.In recent years,by usingvariety method,scholars have been considered a large number of impulsive differen-tial equations with variety linear and nonlinear boundary conditions. In this paper,byapplying the method of upper and lower solutions coupled with the monotone itera-tive technique,we consider the existence of solutions for several impulsive differentialequations with nonlinear boundary conditions.This thesis consists of four chapters.The first chapter is instruction, in this part, we introduced some works about im-pulsive differential equations which have done by the domestic and foreign scholars inrecent years and some innovative points in this paper.In the second chapter, we give the results about the solution of the systems offirst-order impulsive integro-differential equations with nonlinear boundary conditions.The third chapter,we study the existence of solutions for the second impulsivedifferential equations with nonlinear boundary conditions.The last chapter,by studying the systems of second-order impulsive differentialequations with nonlinear boundary conditions, we obtain the existence of solutions forit.