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Limit periodic homogeneous linear difference systems

delete2015-08-01
delete18
PRE
AI
P
Petr Hasil
M
Michal Veselý *
DOI:10.1016/j.amc.2015.06.008delete
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Abstract

Abstract

En 中文
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. (C) 2015 Elsevier Inc. All rights reserved.
Keywords:
Limit periodicity
Almost periodicity
Asymptotic almost periodicity
Almost periodic sequences
Almost periodic solutions
Linear difference equations
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Journal

Applied Mathematics and Computation cover
Applied Mathematics and Computation
IF:
3.4
Papers:
2.3W
Citations:
3.3W

Organization

M
masaryk university brno
Scholars:
1.1W
Papers: 7.8K
Citations: 9