The solution set of BVP for some functional differential inclusions (Q1281723)

The authors show that the set of solutions to the multivalued boundary value problem \(x'(t) \in A(t)x(\alpha (t))+ \lambda F(t, x(\beta (t))),\) \(Lx=\theta\), forms a nonempty infinite-dimensional AR-space for sufficiently small \(\lambda\).