Electronic Journal of Differential Equations,
Vol. 2007(2007), No. 121, pp. 1-11.

Title: Stepanov-like almost automorphic solutions for 
       nonautonomous evolution equations

Authors: Samir Fatajou    (Univ. Cadi Ayyad, Morocco)
         Nguyen Van Minh  (Univ. of West Georgia, Carrollton, GA, USA)
         Gaston M. N'Guerekata (Morgan State Univ., Baltimore, MD, USA) 
	 Alexander Pankov (Morgan State Univ., Baltimore, MD, USA)

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.