  The topological and geometrical structure of the set of solutions of
two-point boundary value problems for second order differential inclusions in
Banach spaces is investigated. It is shown that under the Carath\'eodory-type
assumptions the solution set of the periodic boundary value problem is nonempty
compact acyclic in the space of continuously differentiable functions as well
as in the Bochner-Sobolev space $\mathbb{H}^2$ endowed with the weak topology.
The proof relies heavily on the accretivity of the right-hand side of
differential inclusion. The Lipschitz case is treated separately. As one might
expect the solution set is, in this case, an absolute retract.
