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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 21-24, Pages 1179-1182
doi:10.1155/S0161171204301468

On almost automorphic solutions of linear operational-differential equations

Gaston M. N'guérékata

Department of Mathematics, Morgan State University, Baltimore, MD 21251, USA

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.