Some properties of solutions for a class of semi-linear uncertain dynamical systems

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• 作者：Rui Dai ^{13b912003@hit.edu.cn} ; Minghao Chen ; ^{chenmh130264@aliyun.com}
• 关键词：Fuzzy number ; Semi-linear uncertain dynamical system ; Green's function ; Differential inclusion
• 刊名：Fuzzy Sets and Systems
• 出版年：2017
• 出版时间：15 February 2017
• 年：2017
• 卷：309
• 期：Complete
• 页码：98-114
• 全文大小：358 K
• 卷排序：309

文摘

In this paper some properties of solutions are obtained for semi-linear fuzzy differential equations understood as differential inclusions, i.e., semi-linear uncertain dynamical systems. The definitions of the solution to the semi-linear uncertain dynamical system and its corresponding big solution are given. The existence of the two kinds of solutions is established, and the inclusion relation between them is also obtained.