Existence Of Solutions For Semilinear Fuzzxy Differential Equations

The fuzzy differential equations are commonly used to describe the changing process of uncertain conditions. The theory is widely applied in many different practical problems. In this paper, we use the fixed point theorem to study several classes of semlinear fuzzy differential problems, and establish some existence results for solutions of equations. The paper is divided into six chapters. A conclusion is given in the sixth chapter. The main contents of the rest are as follows:In the first chapter, we sketch the present situation for our investigating problems and the main work in this paper.In the second chapter, we give some preliminaries which will be used in this paper.In the third chapter, we study the existence of first order semilinear delay fuzzy differential equation (where uo is a fuzzy number, f is a fuzzy function):By using the fixed point theorem proposed by Harjani and Sadarangani for weakly contractive mappings, we obtain the results of existence of solutions for the problem in the framework of generalized differentiability.In the fourth chapter, a fuzzy neutral delay differential equation with nonlocal condition is considered (where f,g,h are all fuzzy functions):The results concerning existence and uniqueness for fuzzy solution of the equation are established by using the fuzzy strongly continuous semigroup theory.In the fifth chapter, a second order semilinear fuzzy differential inclusion with fuzzy impulse characteristics and periodic boundary conditions is considered (where F,?k,?k are all fuzzy functions):Some existence results for fuzzy solution of the problem are established by using the theory of uniformly continuous cosine families of operators, the stacking theorem and the fixed point theorem for multivalued maps.