PageHeader : Funkcialaj Ekvacioj, 34 (1991) 343-353 Title : Existence of Approximate Solutions for O. D. E.'s Title : under Caratheodory Assumptions in Closed, Title : Convex Sets of Banach Spaces AuthorInfo : By AuthorInfo : Giovanni EMMANUELE AuthorInfo : (University of Catania, Italy) section : 1. Introduction section : 2. The main result section : 3. Some applications to existence results for (CP) section : (PCP) $\left\{\begin{array}{l} \mathrm{x}^{\prime}=A(t,x)+B(t,x)\\ x(0)=\chi_{0} \end{array}\right.$ section : 4. Another result about (PCP) (not using Theorem 1) section : References