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.

Bibliographic Details
Main Author: Zuosheng Hu
Format: Article
Language:English
Published: Texas State University 2005-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2005/35/abstr.html