具有最大项的模糊微分包含的平均法  

Averaging method for fuzzy differential inclusion with maxima

作　　者：王培光[1] 王淳妹 鲍俊艳[1] WANG Peiguang;WANG Chunmei;BAO Junyan(College of Mathematics and Information Science,Hebei University,Baoding 071002,China)

机构地区：[1]河北大学数学与信息科学学院,河北保定071002

出　　处：《纯粹数学与应用数学》2024年第1期44-57,共14页Pure and Applied Mathematics

基　　金：国家自然科学基金(12171135,11771115);河北省自然科学基金重点项目(A2020201021)。

摘　　要：通过引入模糊映射的定义,性质以及半离差概念,应用不等式技巧和Filippov定理,讨论了具有最大项的模糊微分包含解的平均问题,分别给出了右端模糊函数平均极限存在和不存在两种情况下,模糊微分包含和模糊平均包含的解之间的近似关系.By introducing the definition and properties of fuzzy mapping and the concept of semideviation,and using the inequality technique and the Filippov theorem,the averaging problem of fuzzy differential inclusion with maxima is discussed and the approximate relationship between fuzzy differential inclusion and averaging inclusion solution is given respectively when the average limit of the right-hand fuzzy function exists and when it does not exist.

关 键 词：微分包含 模糊 最大项 平均法 

分 类 号：O175.12[理学—数学]