Almost periodic solutions for some multivalued differential equations in Banach spaces

It is known that in the frame of ordinary differential equations $x'=f(t,x)$ in Banach space with $f$ almost-periodic in $t$ uniformly for $x$ and strongly dissipative with respect to $x$, the existence of a bounded solution is equivalent to the existence of an almost-periodic one (see [5], [6]). In this note we want to generalize the result in the frame of a multivalued differential equation $x'\in F(t,x)$.