Geodesic
Boundeness and Stepanov's almost periodicity of solutions
Electronic journal of differential equations, Tome 2005 (2005)
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.
Classification : 34C27, 34A30
Keywords: boundedness, Stepanov's almost periodicity 
@article{EJDE_2005__2005__a279,
     author = {Hu,  Zuosheng},
     title = {Boundeness and {Stepanov's} almost periodicity of solutions},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34040},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a279/}
}
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%0 Journal Article
%A Hu,  Zuosheng
%T Boundeness and Stepanov's almost periodicity of solutions
%J Electronic journal of differential equations
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Hu,  Zuosheng. Boundeness and Stepanov's almost periodicity of solutions. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a279/