\(C\)-semigroups and almost periodic solutions of evolution equations
type: Item
instance of: scholarly article
title: \(C\)-semigroups and almost periodic solutions of evolution equations
zbMATH Open document ID: 1071.47047
author: Jung-Cheng Chen
author: Nguyen Van Minh
author: Sen-Yen Shaw
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-10-12T00:00:00Z
review text: The paper is concerned with the existence of almost periodic mild solutions to the abstract differential equation \[ u'(t)=Au(t)+f(t) \] on a Banach space \(X\), where \(A\) generates a \(C\)-semigroup and \(f\) is an almost periodic function. Using the evolution \(C\)-semigroup associated with the \(C\)-semigroup generated by \(A\) as the main tool, the authors extend the known results on the existence of almost periodic solutions to the above equation, when \(A\) generates a \(C_0\)-semigroup, to a more general class of operators.
Mathematics Subject Classification ID: 47D60
Mathematics Subject Classification ID: 34C27
Mathematics Subject Classification ID: 47D06
zbMATH DE Number: 2107277
zbMATH Keywords: C-semigroups
zbMATH Keywords: evolution semigroups
zbMATH Keywords: almost periodic solutions
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.05.021
OpenAlex ID: W2083502902
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DOI: 10.1016/J.JMAA.2004.05.021
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description: scientific article; zbMATH DE number 2107277