On the existence of solutions to boundary value problems for interval-valued differential equations under gH-differentiability

被引：8
|
作者：
Wang, Hongzhou [1 ]
Rodriguez-Lopez, Rosana [2 ]
机构：
[1] Sch Math, Beijing Inst Technol, Beijing Key Lab Math Characterizat Anal & Applica, Beijing 100081, Peoples R China
[2] Univ Santiago Compostela, Fac Matemat, Inst Matemat, Dept Estat Analise Matemat & Optimizac, Santiago De Compostela 15782, Spain
来源：
INFORMATION SCIENCES | 2021年 / 553卷
基金：
中国国家自然科学基金;
关键词：
Interval-valued differential equations; gH-differentiability; Boundary value problems; Switching points; UNIQUENESS;
D O I：
10.1016/j.ins.2020.10.052
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 paper, we study first order interval-valued differential equations with the boundary value condition x(0) = alpha x(T). By constructing proper operators, some sufficient conditions for the existence of solutions are provided for alpha is an element of R \ {0, 1}, corresponding to non-periodic boundary value problems. At the end of this paper, some examples are shown to illustrate the theorems proved. (C) 2020 Elsevier Inc. All rights reserved.
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页码：225 / 246
页数：22
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