Well posedness for evolution inclusions (Q1346199)

The authors prove the existence of a continuous selection for a multifunction having as the values the set of all mild solutions of the nonlinear nonautonomous evolution inclusion. The result is in the spirit of those by \textit{A. Cellina} and \textit{V. Staicu} [J. Differ. Equations 92, 2-13 (1991; Zbl 0731.34012)] and \textit{R. M. Colombo}, \textit{A. Fryszkowski}, \textit{T. Rzezuchowski} and \textit{V. Staicu} [Funkc. Ekvacioj 34, No. 2, 321-330 (1991; Zbl 0749.34008)] and it is rather a technical generalization.