Electron. J. Diff. Equ.,
Vol. 2011 (2011), No. 29, pp. 125.
Construction of almost periodic functions with given properties
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 skewHermitian 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;
skewHermitian systems.
Show me the PDF file (286 KB),
TEX file, and other files for this article.

Michal Vesely
Department of Mathematics and Statistics
Masaryk University
Kotlarska 2, CZ611 37 Brno, Czech Republic
email: michal.vesely@mail.muni.cz

Return to the EJDE web page