TY - JOUR
T1 - Existence of solutions to a class of interval-valued differential equation with impulses relative to length constraints
AU - Wang, Hongzhou
AU - Rodríguez-López, Rosana
AU - Khastan, Alireza
N1 - Publisher Copyright:
© 2024 Elsevier B.V.
PY - 2024/5/15
Y1 - 2024/5/15
N2 - This paper provides a new model framework to study interval-valued dynamical systems with length constraints. We use impulses instead of switching points to control the length of solutions to interval-valued differential equation under gH-differentiability. Firstly, we consider a class of interval-valued differential equation with impulses. Then, we study interval-valued differential equation with impulses relative to length constraints. Applying fixed point theory in metric space, we prove some existence results. Several examples are given to illustrate the theoretical results.
AB - This paper provides a new model framework to study interval-valued dynamical systems with length constraints. We use impulses instead of switching points to control the length of solutions to interval-valued differential equation under gH-differentiability. Firstly, we consider a class of interval-valued differential equation with impulses. Then, we study interval-valued differential equation with impulses relative to length constraints. Applying fixed point theory in metric space, we prove some existence results. Several examples are given to illustrate the theoretical results.
KW - Forward and backward solutions
KW - Impulse
KW - Interval-valued differential equation
KW - Length constraint
KW - gH-differentiability
UR - https://www.scopus.com/pages/publications/85188548733
U2 - 10.1016/j.fss.2024.108943
DO - 10.1016/j.fss.2024.108943
M3 - Article
AN - SCOPUS:85188548733
SN - 0165-0114
VL - 484
JO - Fuzzy Sets and Systems
JF - Fuzzy Sets and Systems
M1 - 108943
ER -