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

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

Gaston N'Guerekata 1,

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.
Keywords: semigroups of linear operators, Banach spaces., optimal mild solutions, Weak almost periodicity.
Mathematics Subject Classification: Primary: 34C27, 35B15; Secondary: 34G1.
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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