On the stopping time problem of interval-valued differential equations under generalized Hukuhara differentiability

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.