摘要：In this study, we consider the interval-valued integro-differential equations (IIDEs) under generalized H-differentiability D H g X ( t ) = F ( t , X ( t ) ) + ∫ t 0 t G ( t , s , X ( s ) ) d s , X ( t 0 ) = X 0 ∈ K C ( R ) . The global existence of solutions for interval-valued integro-differential equations with initial conditions under generalized H-differentiability is studied. Theorems for global existence of solutions are given and proved on [ t 0 , ∞ ) . Some examples are given to illustrate these results. MSC:34K05, 34K30, 47G20.
