Limit periodic homogeneous linear difference systems
| Authors | |
|---|---|
| Year of publication | 2015 |
| Type | Article in Periodical |
| Magazine / Source | Applied Mathematics and Computation |
| MU Faculty or unit | |
| 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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