Limit periodic homogeneous linear difference systems

Petr Hasil and Michal Veselý

Applied Mathematics and Computation, 2015, vol. 265, issue C, 958-972

Abstract: 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.

Keywords: Limit periodicity; Almost periodicity; Asymptotic almost periodicity; Almost periodic sequences; Almost periodic solutions; Linear difference equations (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:265:y:2015:i:c:p:958-972

DOI: 10.1016/j.amc.2015.06.008

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