Existence of mild solutions on noncompact intervals to second-order initial value problems for a class of differential inclusions with nonlocal conditions

In this paper, we investigate the existence of mild solutions on an unbounded real interval to second-order initial value problems for a class of differential inclusions with nonlocal conditions. We shall rely on a theorem of Ma, which is an extension to multivalued maps on locally convex topological spaces of Schaeferʹs Theorem.