Geodesic
Construction of almost periodic functions with given properties
Electronic Journal of Differential Equations, Tome 2011 (2011).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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},
     publisher = {mathdoc},
     volume = {2011},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2011__2011__a84/}
}
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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/