Limit periodic homogeneous linear difference systems

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Authors

VESELÝ Michal HASIL Petr

Year of publication 2015
Type Article in Periodical
Magazine / Source Applied Mathematics and Computation
MU Faculty or unit

Faculty of Science

Citation
Doi http://dx.doi.org/10.1016/j.amc.2015.06.008
Field General mathematics
Keywords limit periodicity; almost periodicity; asymptotic almost periodicity; almost periodic sequences; almost periodic solutions; linear difference equations
Description We study limit periodic homogeneous linear difference systems, where the coefficient matrices belong to a bounded group. We find groups of matrices with the property that the systems, which do not possess any non-zero asymptotically almost periodic solution, form a dense subset in the space of all considered systems. Analogously, we analyse almost periodic systems as well.
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