二阶非线性模糊微分方程解的存在性和唯一性  

Existence and uniqueness of solutions to nonlinear second-order fuzzy differential equation

作　　者：陈峰 叶国菊[1] 刘尉[1] CHEN Feng;YE Guoju;LIU Wei(College of Science,Hohai University,Nanjing 211100,China)

机构地区：[1]河海大学理学院,江苏南京211100

出　　处：《湖北大学学报（自然科学版）》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

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.

关 键 词：模糊微分方程 广义微分 SCHAUDER不动点定理 BANACH压缩映射原理 

分 类 号：O175.8[理学—数学]