Periodic and Almost Periodic Solutions for Multi-valued Differential Equations in Banach Spaces
Date
2000-03-30
Authors
Hanebaly, E.
Marzouki, Brahim
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
It is known that for ω-periodic differential equations of monotonous type, in uniformly convex Banach spaces, the existence of a bounded solution on ℝ⁺ is equivalent to the existence of an ω-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.
Description
Keywords
Multi-valued differential equation, Hyper-accretive, Almost periodicity, Banach space
Citation
Hanebaly, E., & Marzouki, B. (2000). Periodic and almost periodic solutions for multi-valued differential equations in Banach spaces. <i>Electronic Journal of Differential Equations, 2000</i>(24), pp. 1-16.