Limit periodic homogeneous linear difference systems

Investor logo
Investor logo

Warning

This publication doesn't include Faculty of Arts. It includes Faculty of Science. Official publication website can be found on muni.cz.
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.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.