Limit periodic linear difference systems with coefficient matrices from commutative groups

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Authors	HASIL Petr VESELÝ Michal
Year of publication	2014
Type	Article in Periodical
Magazine / Source	Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=2795
Field	General mathematics
Keywords	limit periodicity; almost periodicity; almost periodic sequences; almost periodic solutions; linear difference equations
Description	In this paper, limit periodic and almost periodic homogeneous linear difference systems are studied. The coefficient matrices of the considered systems belong to a given commutative group. We find a condition on the group under which the systems, whose fundamental matrices are not almost periodic, form an everywhere dense subset in the space of all considered systems.
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