On periodic solutions to first order linear fuzzy differential equations under differential inclusions' approach

被引：17
|
作者：
Khastan, A. [1 ]
Rodriguez-Lopez, Rosana [2 ]
机构：
[1] Inst Adv Studies Basic Sci, Dept Math, Zanjan, Iran
[2] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela, Spain
来源：
INFORMATION SCIENCES | 2015年 / 322卷
关键词：
First order fuzzy differential equation; Differential inclusion; Periodic solution; Bounded solution; NUMBER-VALUED FUNCTIONS; BOUNDARY-VALUE-PROBLEMS; GENERALIZED DIFFERENTIABILITY; EXTENSION PRINCIPLE; INTERVAL;
D O I：
10.1016/j.ins.2015.06.003
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this work, we study some properties of the solutions to first order linear fuzzy differential equations under differential inclusions' approach. We show that the differential inclusions' approach generally adapts better to some properties of the solutions to ordinary differential equations. Sufficient conditions for the solutions under this approach to be periodic and bounded are presented. We also give some examples to show the applicability of these results. (C) 2015 Elsevier Inc. All rights reserved.
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页码：31 / 50
页数：20
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