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@article{1301469,
author = {Veselý, Michal and Hasil, Petr},
article_number = {August},
doi = {http://dx.doi.org/10.1016/j.amc.2015.06.008},
keywords = {limit periodicity; almost periodicity; asymptotic almost periodicity; almost periodic sequences; almost periodic solutions; linear difference equations},
language = {eng},
issn = {0096-3003},
journal = {Applied Mathematics and Computation},
title = {Limit periodic homogeneous linear difference systems},
volume = {265},
year = {2015}
}
TY - JOUR
ID - 1301469
AU - Veselý, Michal - Hasil, Petr
PY - 2015
TI - Limit periodic homogeneous linear difference systems
JF - Applied Mathematics and Computation
VL - 265
IS - August
SP - 958-972
EP - 958-972
PB - Elsevier
SN - 00963003
KW - limit periodicity
KW - almost periodicity
KW - asymptotic almost periodicity
KW - almost periodic sequences
KW - almost periodic solutions
KW - linear difference equations
N2 - 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.
ER -
VESELÝ, Michal and Petr HASIL. Limit periodic homogeneous linear difference systems. \textit{Applied Mathematics and Computation}. Elsevier, 2015, vol.~265, August, p.~958-972. ISSN~0096-3003. Available from: https://dx.doi.org/10.1016/j.amc.2015.06.008.
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