Boundary value problems for interval-valued differential equations on unbounded domains

被引：9

作者：

Wang, Hongzhou ^{[1
]}

Rodriguez-Lopez, Rosana ^{[2
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing Key Lab Math Characterizat Anal & Applica, Beijing 100081, Peoples R China

[2] Univ Santiago de Compostela, Fac Matemat, Inst Matemat, Dept Estat Anal Matemat & Optimizac, Santiago De Compostela 15782, Spain

来源：

FUZZY SETS AND SYSTEMS | 2022年 / 436卷

关键词：

Interval-valued differential equation; Boundary value problem; gH-differentiability; Unbounded domain; POSITIVE SOLUTIONS; HUKUHARA DIFFERENTIABILITY; EXISTENCE;

D O I：

10.1016/j.fss.2021.03.019

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

By using the Banach fixed point theorem and Schauder fixed-point theorem for semilinear spaces, we study the existence of solutions to some class of boundary value problems for interval-valued differential equations on unbounded domains. Some sufficient conditions are provided in order to deduce the existence of solutions without switching points, and also for mixed solutions with a unique switching point. The influences of the range of the parameter in the boundary value condition has on the existence of solutions is also discussed. Finally, two examples are given to demonstrate the feasibility of the theorems.(c) 2021 Elsevier B.V. All rights reserved.

引用

页码：102 / 127

页数：26

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