School of Mathematics and Statistics
Carleton University
Ottawa, Ontario, K1S 5B6, Canada
email: zshhu@yahoo.com
Zuosheng Hu
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.
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Zuosheng Hu School of Mathematics and Statistics Carleton University Ottawa, Ontario, K1S 5B6, Canada email: zshhu@yahoo.com |
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