Controllability Of Partial Functional Differential System

In this dissertation, by using semigroup theory and Schauder fixed point theorem, we establish a sufficient result of exact null controllability for the semilinear functional evolution system with nonlocal conditions and the approximate controllability of the second order impulsive differential equations. Two examples are also provided to illustrate the applications of the obtained results respectively.This dissertation contains three chapters:In Chapter 1 we introduce some background knowl-edge of functional differential equations and controllability. In Chapter 2 we investigate the exact null controllability for a semilinear functional evolution system with nonlocal conditions. The main method we adopted is Schauder fixed point theorem. In Chapter 3 we study the approximate con-trollability for second order impulsive differential equations by using Sadovskii fixed point theorem.