In this paper we investigate the existence of mild solutions on the semi-infinite interval to second order initial value problems for a class of integrodifferential inclusions in Banach spaces. We shall make use of a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaefer's Theorem.
"On Second Order Integrodifferential Inclusions in Banach Spaces." Missouri J. Math. Sci. 14 (1) 28 - 37, Winter 2002. https://doi.org/10.35834/2002/1401028