In this paper, the existences of almost periodic solutions and pseudo almost periodic solutions for several classes of functional differential equations are investigated. This paper is organized by four parts: In Chapterl, we simply introduce the development of differential equations with piecewise constant argument. In Chapter2, we generalize the sufficient condition of the existences of pseudo almost periodic solutions of second-order neutral delay differential equations with piecewise constant argument in reference . In Chapter3, we consider a class of generalized second-order neutral delay differential equations with piecewise constant argument; by constructing pseudo almost periodic solutions of the difference equation and using the fixed point theorem, we obtain a sufficient condition of the existences of pseudo-almost periodic solutions of the equation.In chapter 4, we considers the problem numerical solution of differential equation in fuzzy initial value condition,set up a method of fuzzy simulation.
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