PageHeader : Funkcialaj Ekvacioj, 34 (1991) 127-141 Title : Classical Solutions of the Problem $x^{\prime}\in F(t, $ x, $ x^{\prime})$ , $x(t_{0})=x_{0}$ , Title : $x^{\prime}(t_{0})=\mathrm{y}_{0}$ in Banach Spaces AuthorInfo : By AuthorInfo : Ornella NASELLI RICCERI AuthorInfo : (University of Catania, Italy) section : Introduction section : 1. Notation and basic definitions section : 2. The main results section : 3. Some applications section : References