Michal Vesely
Abstract:
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 Masaryk University Kotlarska 2, CZ-611 37 Brno, Czech Republic email: michal.vesely@mail.muni.cz |
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