The Solutions To Three Types Of Initial Value Problems For Fuzzy Differential Equations

In this paper, we discuss the initial value problems for three types of fuzzy dif-ferential equations, the paper includes four chapters. The results given in this paper extend and improve the corresponding ones in the literatures. In Chapter 1, we intro-duce the fundamental concepts and theroy of fuzzy differential equations. In Chapter 2, by using Hasegawa functional, embedding theorem and extension principle, we consider the existence and uniqueness for solutions to a type of initial value problems of fuzzy differential equations x′(t)= f(t,x(t)), x(t0)= x0In Chapter 3, by using the method of approximate solution and comparison theorem , we consider the existence for solutions to a type of functional fuzzy differential equationsIn Chapter 4, by using the concept of inner product and the corresponding comparison results, we consider the existence for solutions to a type of impulsive fuzzy differential equations...