Controllability Of One-order Impulsive System With Nonlocal Conditions

In the dissertation,by usingC0semigroup theory and fixed point theorems, wediscuss the existence results of mild solutions for one order impulsive functionalsystem with nonlocal conditions,and then we study exact controllability of one orderimpulsive functional system with nonlocal conditions.we establish a sufficient resultof exact controllability for one order impulsive functional system with nonlocalconditions.This dissertation contains four chapters: In Chapter1we introduce somebackground knowledge of functional differential equations and controllability. InChapter2we give some preliminaries. In Chapter3we discuss the exactcontrollability of a kind of impulsive functional differential systems with nonlocalconditions respectively under Lipshitz conditions and non-Lipshitz conditions. InChapter4an example is given to illustrate the application of the results.