关于一类模糊积分方程解的存在唯一性

THE EXISTENCE AND UNIQUENESS OF SOLUTION FOR A CLASS OF INTEGRAL EQUATIONS

利用Ｆｕｚｚｙ压缩映象的不动点定理证明了一类线性Ｖｏｌｔｅｒａ型Ｆｕｚｚｙ积分方程ｆ（ｘ）＝φ（ｘ）＋λ∫ｘｘ０Ｋ（ｘ，ｔ）ｆ（ｔ）ｄｔ解的存在唯一性定理．

The existence and uniqueness theorem of solution for the linear Volterra type integral equation (x)=(x)+λ∫ x x 0 K(x,t)(t) d t is proved by the way of using fixed point theorem.