TY - JOUR
T1 - On the existence of solutions to boundary value problems for interval-valued differential equations under gH-differentiability
AU - Wang, Hongzhou
AU - Rodríguez-López, Rosana
N1 - Publisher Copyright:
© 2020 Elsevier Inc.
PY - 2021/4
Y1 - 2021/4
N2 - In this paper, we study first order interval-valued differential equations with the boundary value condition x(0)=αx(T). By constructing proper operators, some sufficient conditions for the existence of solutions are provided for α∈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.
AB - In this paper, we study first order interval-valued differential equations with the boundary value condition x(0)=αx(T). By constructing proper operators, some sufficient conditions for the existence of solutions are provided for α∈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.
KW - Boundary value problems
KW - Interval-valued differential equations
KW - Switching points
KW - gH-differentiability
UR - http://www.scopus.com/inward/record.url?scp=85096028469&partnerID=8YFLogxK
U2 - 10.1016/j.ins.2020.10.052
DO - 10.1016/j.ins.2020.10.052
M3 - Article
AN - SCOPUS:85096028469
SN - 0020-0255
VL - 553
SP - 225
EP - 246
JO - Information Sciences
JF - Information Sciences
ER -