| Differential inclusion is an important branch of non-linear analysis theory, it has a wide range of application in differential equations, engineering, economy, sociology, biology and other fields. There many phenomena in nature are uncertain, we commonly used method of differential inclusions to explore the uncertain of systems. This is because that to other systems of differential equations, differential inclusion system is moro inclusive. Existence of solutions for differential inclusion is the basic content of differential inclusion theory.This article is divided into three chapters:Chapter â… , we provide an overview of the development of boundary value for differential inclusion, introduce the main result of the existence of solution for dif-ferential inclusion.Chapter â…¡, we give a simple introduction of the use of knowledge, including the related definition, notation and lemma.Chapter â…¢, we introduce the existence of impulsive boundary value problem for first-order differential inclusion. |