In this paper, we discuss the problems of initial and boundary value for fuzzy differential equations. The results given in this paper extend and improve the corre-sponding ones in the literatures.In Chapter 1, we introduce the fundamental concepts and theory of fuzzy differ-ential equations.In Chapter 2, we consider the existence of the solution of a type of impulsive fuzzy differential equationsIn section 2.3, we consider the equivalence between problem (*) and then by using method of contraction principle, the existence for the solution to problem (*) is obtained.In Chapter 3, we consider the existence of extremal solutions for fuzzy differential equationsIn section 3.3, existence for solutions of the following system is considered.In section 3.4, using monotone iterative technique, existence of extremal solutions to problem (**) is established.
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