Electron. J. Diff. Eqns.,
Vol. 2007(2007), No. 121, pp. 1-11.
Stepanov-like almost automorphic solutions for
nonautonomous evolution equations
Samir Fatajou, Nguyen Van Minh,
Gaston M. N'Guerekata, Alexander Pankov
Abstract:
We study the convolution of Stepanov-like almost automorphic functions
and L^1 functions. Also we consider nonautonomous evolution equations,
with a periodic operator coefficient and Stepanov-like almost automorphic
forcing, and show that, under certain assumptions, any bounded mild
solution is almost automorphic.
Submitted August 1, 2007. Published September 14, 2007.
Math Subject Classifications: 43A60, 34G20.
Key Words: Stepanov-like, Almost automoprhic.
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Samir Fatajou
Université Cadi Ayyad, Faculté des Sciences Semlalia
Département de mathématiques, B.P. 2390 Marrakech, Morocco
email: fatajou@hotmail.fr |
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Nguyen Van Minh
Department of Mathematics, University of West Georgia
Carrollton, GA 30018, USA
email: vnguyen@westga.edu |
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Gaston M. N'Guérékata
Department of Mathematics, Morgan State University
1700 E. Cold Spring Lane, Baltimore, MD 21251, USA
email: gnguerek@morgan.edu |
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Alexander Pankov
Department of Mathematics, Morgan State University
1700 E. Cold Spring Lane, Baltimore, MD 21251, USA
email: pankov@member.ams.org
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