Geodesic
Periodic and almost periodic solutions for multi-valued differential equations in Banach spaces
Electronic journal of differential equations, Tome 2000 (2000)
It is known that for $\omega$-periodic differential equations of monotonous type, in uniformly convex Banach spaces, the existence of a bounded solution on ${\Bbb R}^+$ is equivalent to the existence of an $\omega$-periodic solution (see Haraux [5] and Hanebaly [7, 10]). It is also known that if the Banach space is strictly convex and the equation is almost periodic and of monotonous type, then the existence of a continuous solution with a precompact range is equivalent to the existence of an almost periodic solution (see Hanebaly [8]). In this note we want to generalize the results above for multi-valued differential equations.
Classification : 34A60, 34C25, 34C27, 47H10
Keywords: multi-valued differential equation, hyper-accretive, almost periodicity, Banach space 
@article{EJDE_2000__2000__a55,
     author = {Hanebaly,  E. and Marzouki,  B.},
     title = {Periodic and almost periodic solutions for multi-valued differential equations in {Banach} spaces},
     journal = {Electronic journal of differential equations},
     year = {2000},
     volume = {2000},
     zbl = {0947.34052},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a55/}
}
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VL  - 2000
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%A Marzouki,  B.
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%J Electronic journal of differential equations
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%F EJDE_2000__2000__a55
Hanebaly,  E.; Marzouki,  B. Periodic and almost periodic solutions for multi-valued differential equations in Banach spaces. Electronic journal of differential equations, Tome 2000 (2000). http://geodesic.mathdoc.fr/item/EJDE_2000__2000__a55/