Limit periodic linear difference systems with coefficient matrices from commutative groups
| Authors | |
|---|---|
| Year of publication | 2014 |
| Type | Article in Periodical |
| Magazine / Source | Electronic Journal of Qualitative Theory of Differential Equations |
| MU Faculty or unit | |
| Citation | |
| Web | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_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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