Geodesic
Construction of almost periodic functions with given properties
Electronic journal of differential equations, Tome 2011 (2011)
We define almost periodic functions with values in a pseudometric space $\mathcal{X}$. We mention the Bohr and the Bochner definition of almost periodicity. We present one modifiable method for constructing almost periodic functions in $\mathcal{X}$. Applying this method, we prove that in any neighbourhood of an almost periodic skew-Hermitian linear differential system there exists a system which does not possess a nontrivial almost periodic solution.
Classification : 34A30, 34C27, 42A75
Keywords: almost periodic solutions, linear differential equations, skew-Hermitian systems 
@article{EJDE_2011__2011__a84,
     author = {Vesely,  Michal},
     title = {Construction of almost periodic functions with given properties},
     journal = {Electronic journal of differential equations},
     year = {2011},
     volume = {2011},
     zbl = {1221.42011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a84/}
}
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%A Vesely,  Michal
%T Construction of almost periodic functions with given properties
%J Electronic journal of differential equations
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Vesely,  Michal. Construction of almost periodic functions with given properties. Electronic journal of differential equations, Tome 2011 (2011). http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a84/