Publication Cover
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

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Pages 723-733 | Received 24 Feb 2007, Accepted 14 Mar 2007, Published online: 27 Jun 2007
 

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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