【摘要】 本文首次提出了区间值函数与 Fuzzy 值函数常微分方程的概念.讨论了区间值函数常微分方程的解的存在性和唯一性,同时,应用 Fuzzy 集的分解定理,研究了 Fuzzy 值函数常微分方程在普通点和 Fuzzy 点的解的存在性和唯一性.并顺便得到了这类方程的一种解法.更多还原

【Abstract】 This paper puts forward concepts of ordinary differential equations of an interval-valued and a fuzzy-valued function for the first time.It discusses the existence and uniqueness of the former,and of the latter in solution at common and fuzzy, points by applying decomposition theorem in fuzzy sets as well,so that a solution is obtained for both equations.更多还原