摘要
基于模糊函数的广义微分概念,建立二阶模糊微分方程和相应积分方程的等价性,并利用Schauder不动点定理和Banach压缩映射原理得到解的存在性和唯一性.
Under generalized differentiability,the equivalence of the second-order fuzzy differential equation and its integral equation is established.By Schauder’s fixed point theorem and Banach’s contraction mapping principle,existence and uniqueness theorems of the second-order fuzzy differential equation are obtained.
作者
陈峰
叶国菊
刘尉
CHEN Feng;YE Guoju;LIU Wei(College of Science,Hohai University,Nanjing 211100,China)
出处
《湖北大学学报（自然科学版）》
CAS
2018年第6期657-662,666,共7页
Journal of Hubei University：Natural Science
基金
中央高校基本科研业务费专项资金(2017B19714
2017B07414)资助
