TY - JOUR
T1 - Boundary value problems for interval-valued differential equations on unbounded domains
AU - Wang, Hongzhou
AU - Rodríguez-López, Rosana
N1 - Publisher Copyright:
© 2021 Elsevier B.V.
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 - http://www.scopus.com/inward/record.url?scp=85113289350&partnerID=8YFLogxK
U2 - 10.1016/j.fss.2021.03.019
DO - 10.1016/j.fss.2021.03.019
M3 - Article
AN - SCOPUS:85113289350
SN - 0165-0114
VL - 436
SP - 102
EP - 127
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
ER -