Almost automorphic solutions to some differential equations in Banach spaces
type: Item
instance of: scholarly article
title: Almost automorphic solutions to some differential equations in Banach spaces
zbMATH Open document ID: 0963.34049
DOI: 10.1155/S0161171200001988
author: G. M. N'Guérékata
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2001-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/48769
review text: Summary: The author discusses the conditions under which bounded solutions to the evolution equation \[ x'(t)= Ax(t)+ f(t) \] in a Banach space are almost automorphic whenever \(f(t)\) is almost automorphic and \(A\) generates a \(C_0\)-group of strongly continuous operators. He also gives a result for asymptotically almost automorphic solutions for the more general case of \[ x'(t)= Ax(t)+ f(t,x(t)). \]
Mathematics Subject Classification ID: 34G10
Mathematics Subject Classification ID: 34A25
Mathematics Subject Classification ID: 30F35
zbMATH DE Number: 1485601
zbMATH Keywords: bounded solutions
zbMATH Keywords: evolution equation
zbMATH Keywords: asymptotically almost automorphic solutions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1485601