International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 22, Pages 1179-1182
doi:10.1155/S0161171204301468
On almost automorphic solutions of linear operational-differential equations
Department of Mathematics, Morgan State University, Baltimore, MD 21251, USA
Received 20 January 2003
Copyright © 2004 Gaston M. N'Guérékata. 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.
Abstract
We prove almost periodicity and almost automorphy of bounded solutions of linear differential equations x′(t)=Ax(t)+f(t) for some class of linear operators acting in a Banach space.