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

Hongzhou Wang; Rosana Rodríguez-López

doi:10.1016/j.fss.2021.03.019

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

Hongzhou Wang^*
, Rosana Rodríguez-López

^*Corresponding author for this work

School of Mathematics and Statistics

University of Santiago de Compostela

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	102-127
Number of pages	26
Journal	Fuzzy Sets and Systems
Volume	436
DOIs	https://doi.org/10.1016/j.fss.2021.03.019
Publication status	Published - 30 May 2022

Keywords

Boundary value problem
Interval-valued differential equation
Unbounded domain
gH-differentiability

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10.1016/j.fss.2021.03.019

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abstract = "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.",

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AU - Rodríguez-López, Rosana

PY - 2022/5/30

Y1 - 2022/5/30

N2 - 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.

AB - 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.

KW - Boundary value problem

KW - Interval-valued differential equation

KW - Unbounded domain

KW - gH-differentiability

UR - https://www.scopus.com/pages/publications/85113289350

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DO - 10.1016/j.fss.2021.03.019

M3 - Article

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SN - 0165-0114

VL - 436

SP - 102

EP - 127

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

ER -

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

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Keywords

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