Existence Of Almost Periodic Type Solutions Of Several Classes Of Differential Equations

The master degree thesis mainly deals with the existence and uniqueness of almost periodic solutions and weighted pseudo almost periodic solutions of several classes of dif-ferential equations, by applying the basic theory of almost periodic functions and weighted pseudo almost periodic functions with fixed point theory.In Chapter1, we summary the development and current situations of almost periodic type functions and introduce the newest results of almost periodic type solutions.In Chapter2, firstly, we introduce the fundamental theory of weighted pseudo al-most periodic functions; secondly, we study a class of functional differential equations of neutral type; by applying Krasnosclskii fixed point theorem and Banach contraction map-ping principle, we obtain the existence and uniqueness of weight pseudo almost periodic solutions of this equation.In Chapter3, by using the theory of semigroups of operators to evolution families and Banach fixed point theorem, we prove the existence and uniqueness of weight pseudo al-most periodic solutions to a class of abstract functional differential equations with nonlocal conditions in Banach space, which extend some known results.In Chapter4, we study an impulsive Gompertz system, by using theory of almost periodic functions in impulsive differential equations and Banach fixed point theorem with theory of basic matric, we obtain the existence of almost periodic solutions to this system.