Almost automorphy, almost periodicity and stability of motions in Banach

Authors
N'guerekata, GM
Citation
Gm. N'Guerekata, Almost automorphy, almost periodicity and stability of motions in Banach, FORUM MATH, 13(4), 2001, pp. 581-588
Citations number
11
Categorie Soggetti
Mathematics
Journal title
FORUM MATHEMATICUM
ISSN journal
09337741 → ACNP
Volume
13
Issue
4
Year of publication
2001
Pages
581 - 588
Database
ISI
SICI code
0933-7741(2001)13:4<581:AAAPAS>2.0.ZU;2-H
Abstract
We present sufficient conditions for ensuring almost automorphy of bounded solutions of differential equations of the form x'(t) = Ax(t) + f(t) in Ban ach spaces. We also give a generalization to Banach spaces of a result by A . M. Fink on almost periodicity of strongly stable motions.