Publication details

On Orthogonal and Unitary Almost Periodic Homogeneous Linear Difference Systems



Year of publication 2007
Type Article in Proceedings
Conference Proceedings of Colloquium on Differential and Difference Equations (Brno, 2006)
MU Faculty or unit

Faculty of Science

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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