On Orthogonal and Unitary Almost Periodic Homogeneous Linear Difference Systems
| Authors | |
|---|---|
| Year of publication | 2007 |
| Type | Article in Proceedings |
| Conference | Proceedings of Colloquium on Differential and Difference Equations (Brno, 2006) |
| MU Faculty or unit | |
| Citation | |
| Field | General mathematics |
| Keywords | almost periodic sequences; almost periodic solutions; linear difference systems; unitary matrices |
| Description | There are introduced two lemmas concerning certain properties of unitary and orthogonal matrices. Then, using the lemmas, it is proved that the unitary and orthogonal almost periodic difference systems, which do not have any nontrivial almost periodic solutions, and also the systems, whose all solutions are almost periodic, form dense subsets of the set of all studied systems. |
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