Geodesic
Almost periodic solutions for some multivalued differential equations in Banach spaces
Lobachevskii journal of mathematics, Tome 5 (1999), pp. 3-11 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $x'\in F(t,x)$.
Keywords: Banach space, multivalued differential equation, boundness, strongly monotone, almost periodicity. 
@article{LJM_1999_5_a0,
     author = {B. Marzouki},
     title = {Almost periodic solutions for some multivalued differential equations in {Banach} spaces},
     journal = {Lobachevskii journal of mathematics},
     pages = {3--11},
     year = {1999},
     volume = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_1999_5_a0/}
}
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B. Marzouki. Almost periodic solutions for some multivalued differential equations in Banach spaces. Lobachevskii journal of mathematics, Tome 5 (1999), pp. 3-11. http://geodesic.mathdoc.fr/item/LJM_1999_5_a0/