TY - JOUR
T1 - On the stopping time problem of interval-valued differential equations under generalized Hukuhara differentiability
AU - Wang, Hongzhou
AU - Rodríguez-López, Rosana
AU - Khastan, Alireza
N1 - Publisher Copyright:
© 2021 Elsevier Inc.
PY - 2021/11
Y1 - 2021/11
N2 - In this paper, we introduce the definitions of stopping time, forward and backward solutions to interval-valued differential equations under generalized Hukuhara differentiability, which could be applied to discuss the evolution of dynamical systems with practical backgrounds. By using these definitions, we study stopping time problems for the Malthusian population model and the logistic model in details. Then, some general conclusions about stopping time problems for interval-valued differential equations are considered and the results are shown to be feasible by providing some examples.
AB - In this paper, we introduce the definitions of stopping time, forward and backward solutions to interval-valued differential equations under generalized Hukuhara differentiability, which could be applied to discuss the evolution of dynamical systems with practical backgrounds. By using these definitions, we study stopping time problems for the Malthusian population model and the logistic model in details. Then, some general conclusions about stopping time problems for interval-valued differential equations are considered and the results are shown to be feasible by providing some examples.
KW - Forward and backward solutions
KW - Interval-valued differential equations
KW - Stopping time
KW - Switching points
KW - gH-differentiability
UR - http://www.scopus.com/inward/record.url?scp=85113294424&partnerID=8YFLogxK
U2 - 10.1016/j.ins.2021.08.012
DO - 10.1016/j.ins.2021.08.012
M3 - Article
AN - SCOPUS:85113294424
SN - 0020-0255
VL - 579
SP - 776
EP - 795
JO - Information Sciences
JF - Information Sciences
ER -