E. Hanebaly & B. Marzouki
It is known that for -periodic differential equations of monotonous type, in uniformly convex Banach spaces, the existence of a bounded solution on is equivalent to the existence of an -periodic solution (see Haraux  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 ). 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.
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Universite Mohammed I Faculte des Sciences
Departement de Mathematiques, Oujda, Maroc.