Almost periodic solutions for some multivalued differential equations in Banach spaces

(Lobachevskii Journal of Mathematics, Volume V)

It is known that in the frame of ordinary differential equationsx'=f(t,x) in Banach space with f almost-periodic in tuniformly for x and strongly dissipative with respect to x, theexistence of a bounded solution is equivalent to the existence ofan almost-periodic one ( see [H1],[H2]). In this note we wantto generalize the result in the frame of a multivalueddifferential equation x'∈F(t,x).
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