Stepanov-like almost automorphic solutions for nonautonomous evolution equations

Stepanov-like almost automorphic solutions for nonautonomous evolution equations

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 al...

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Bibliographic Details
Main Authors: Alexander Pankov, Gaston M. N'Guerekata, Nguyen Van Minh, Samir Fatajou
Format: Article
Language:English
Published: Texas State University 2007-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Stepanov-like, Almost automoprhic
Online Access:http://ejde.math.txstate.edu/Volumes/2007/121/abstr.html
Description
Summary: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.
ISSN:1072-6691

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