Construction of almost periodic sequences with given properties

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Authors

VESELÝ Michal

Year of publication 2008
Type Article in Periodical
Magazine / Source Electronic Journal of Differential Equations
MU Faculty or unit

Faculty of Science

Citation
Field General mathematics
Keywords Almost periodic sequences; pseudometric spaces; constructions of sequences; linear difference systems
Description Almost periodic sequences with values in a pseudometric space are introduced. The Bochner definition of the almost periodicity is modified so that it remains equivalent with the Bohr definition. Then, a method of constructions of almost periodic sequences is presented. Using this method, one can find almost periodic homogeneous linear difference systems what do not have any nontrivial almost periodic solutions.
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