Global existence and uniqueness of the solution to the impulsive interval-valued differential equations under generalized Hukuhara differentiability

摘要

In this work, we presented the global existence and uniqueness of the solution to some classes of the impulsive interval-valued differential equations under generalized Hukuhara differentiability, for example, the impulsive interval-valued differential equations (IIDEs), the linear impulsive interval-valued differential equations (LIIDEs) under generalized Hukuhara differentiability by using the Lyapunov like function, Dini's derivative and scalar ordinary differential equations.