Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 35, pp. 1-7.

Title: Boundeness and Stepanov's almost periodicity of solutions 

Author: Zuosheng Hu (Carleton Univ., Ottawa, Canada)
 
Abstract: 
 In this paper, we establish a necessary condition of Stepanov's almost
 periodicity of solutions for general linear almost periodic systems,
 and then we construct an example of linear system in which all
 solutions are bounded, but any non-trivial solution is not Stepanov's
 almost periodic.
 
Submitted January 17, 2005. Published March 24, 2005.
Math Subject Classifications: 34C27, 34A30.
Key Words: Boundedness; Stepanov's almost periodicity.