We define almost periodic functions with values in a pseudometric space . We mention the Bohr and the Bochner definition of almost periodicity. We present one modifiable method for constructing almost periodic functions in . 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.
Submitted August 22, 2010. Published February 18, 2011.
Math Subject Classifications: 34A30, 34C27, 42A75.
Key Words: Almost periodic solutions; linear differential equations; skew-Hermitian systems.
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| Michal Vesely |
Department of Mathematics and Statistics
Kotlarska 2, CZ-611 37 Brno, Czech Republic
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