On the solution sets of differential inclusions (Q1086721)

Assume that f: [0,a]\(\times {\mathbb{R}}^ n\to {\mathbb{R}}^ n\) is a multivalued map and consider the following Cauchy problem: (1) \(x'(t)\in f(t,x(t)),\) \(x(0)=0\). The author studies the topological structure of the set of all solutions of (1) in connection with selection properties of the map f.