文章基本信息

标题：Existence of local and global solutions of fuzzy delay differential inclusions
本地全文：下载
作者：Chao Min ; Nan-jing Huang ; Lie-Hui Zhang 等
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2014
卷号：2014
期号：1
页码：108
DOI：10.1186/1687-1847-2014-108
语种：English
出版社：Hindawi Publishing Corporation
摘要：Fuzzy delay differential inclusions are introduced and studied in this paper. The local and global existence theorems under different conditions are proved by using selection theorems and Kakutani’s fixed point theorem. Under the tangential condition, a global viable solution for a fuzzy delay differential inclusion is proved to exist. The property of the solution sets is achieved. Some known results of fuzzy differential inclusions and fuzzy differential equations are extended, which might be helpful in the analysis of dynamic systems with uncertainties.
关键词：fuzzy delay differential inclusion ; fuzzy differential equation ; fixed point theorem ; selection theorem