Geodesic
Almost periodic solutions for some multivalued differential equations in Banach spaces
Lobachevskii journal of mathematics, Tome 5 (1999), pp. 3-11.

Voir la notice de l'article provenant de la source Math-Net.Ru

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},
     publisher = {mathdoc},
     volume = {5},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/LJM_1999_5_a0/}
}
TY  - JOUR
AU  - B. Marzouki
TI  - Almost periodic solutions for some multivalued differential equations in Banach spaces
JO  - Lobachevskii journal of mathematics
PY  - 1999
SP  - 3
EP  - 11
VL  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/LJM_1999_5_a0/
LA  - en
ID  - LJM_1999_5_a0
ER  - 
%0 Journal Article
%A B. Marzouki
%T Almost periodic solutions for some multivalued differential equations in Banach spaces
%J Lobachevskii journal of mathematics
%D 1999
%P 3-11
%V 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/LJM_1999_5_a0/
%G en
%F LJM_1999_5_a0
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/