TY - JOUR
T1 - On the stopping time problem of interval-valued differential equations without monotonicity constraint
AU - Wang, Hongzhou
AU - Rodríguez-López, Rosana
N1 - Publisher Copyright:
© 2022 Elsevier B.V.
PY - 2023/8/30
Y1 - 2023/8/30
N2 - This paper is devoted to studying stopping time problem of interval-valued differential equation. Based on length constraint, we discuss the stopping time without Lipschitz condition, monotonicity and nonnegativity hypotheses. Then, stopping times with respects to upper and lower boundednesses are studied without monotonicity hypothesis, which is necessary in [27]. The results can be applied to discuss stopping time problem of more general interval-valued differential equations. We also provide some examples to verify our results.
AB - This paper is devoted to studying stopping time problem of interval-valued differential equation. Based on length constraint, we discuss the stopping time without Lipschitz condition, monotonicity and nonnegativity hypotheses. Then, stopping times with respects to upper and lower boundednesses are studied without monotonicity hypothesis, which is necessary in [27]. The results can be applied to discuss stopping time problem of more general interval-valued differential equations. We also provide some examples to verify our results.
KW - Forward and backward solutions
KW - Interval-valued differential equations
KW - Stopping time
KW - gH-differentiability
UR - http://www.scopus.com/inward/record.url?scp=85144874861&partnerID=8YFLogxK
U2 - 10.1016/j.fss.2022.12.002
DO - 10.1016/j.fss.2022.12.002
M3 - Article
AN - SCOPUS:85144874861
SN - 0165-0114
VL - 466
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
M1 - 108446
ER -