Electronic Journal of Differential Equations,
Vol. 2000(2000), No. 24, pp. 1-16.

Title: Periodic and almost periodic solutions for multi-valued differential
       equations in Banach spaces

Authors: E. Hanebaly (Univ. Mohammed V Faculte des Sciences, Rabat Moroc)
 B. Marzouki (Univ. Mohammed V Faculte des Sciences, Rabat Moroc)
         
Abstract: 
 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.

Submitted July 16, 1999. Published March 30, 2000.
Math Subject Classifications: 34A60, 34C25, 34C27, 47H10.
Key Words: Multi-valued differential equation; Hyper-accretive;
           Almost periodicity; Banach space.