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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 6
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Original Articles

Stepanov-like almost automorphic functions and applications to some semilinear equations

Toka Diagana Department of Mathematics, Howard University, 2441 6th Street N.W., Washington D.C. 20059, USA
&
Gaston M. N’Guérékata Department of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USACorrespondence[email protected]
Pages 723-733 | Received 24 Feb 2007, Accepted 14 Mar 2007, Published online: 27 Jun 2007
 
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Abstract

This article is concerned with the existence and uniqueness of an almost automorphic solution to the semilinear equation

where is the infinitesimal generator of an exponentially stable C 0-semigroup on a Banach space and is Sp -almost automorphic for p > 1 and jointly continuous.

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