International Journal of Mathematics and Mathematical Sciences
Volume 23 (2000), Issue 5, Pages 361-365
Almost automorphic solutions of some differential equations in Banach spaces
Department of Mathematics, Morgan State University, Cold Spring Lane and Hillen Road, Baltimore, MD 21251, USA
Received 12 November 1997; Revised 2 March 1998
Copyright © 2000 Gaston Mandata N'Guerekata. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
We discuss the conditions under which bounded solutions of the
evolution equation in a Banach space are almost automorphic whenever is almost automorphic and generates a -group of strongly continuous operators. We also
give a result for asymptotically almost automorphic solutions for
the more general case of .