# American Institute of Mathematical Sciences

2003, 2003(Special): 672-677. doi: 10.3934/proc.2003.2003.672

## On weak-almost periodic mild solutions of some linear abstract differential equations

 1 Department of Mathematics, Morgan State University, Baltimore, Maryland 21251, United States

Received  July 2002 Revised  April 2003 Published  April 2003

We are concerned with the differential equation $x'(t) = Ax(t) + f(t)$ with a linear operator $A$ acting in a Banach space $X$ and $f : \mathbb(R) \to X$ a almost periodic function (in Bochner’s sense). We give necessary conditions to ensure that the so-called optimal mild solutions are also weakly almost periodic.
Citation: Gaston N'Guerekata. On weak-almost periodic mild solutions of some linear abstract differential equations. Conference Publications, 2003, 2003 (Special) : 672-677. doi: 10.3934/proc.2003.2003.672
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