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@article{2299131,
author = {Hasil, Petr and Veselý, Michal},
article_number = {1},
doi = {http://dx.doi.org/10.1080/10236198.2022.2159818},
keywords = {Limit periodicity; almost periodicity; limit periodic sequences; almost periodic solutions; difference equations; linear equations},
language = {eng},
issn = {1023-6198},
journal = {Journal of Difference Equations and Applications},
title = {Limit periodic perturbations of difference systems with coefficients from commutative groups},
url = {https://doi.org/10.1080/10236198.2022.2159818},
volume = {29},
year = {2023}
}
TY - JOUR
ID - 2299131
AU - Hasil, Petr - Veselý, Michal
PY - 2023
TI - Limit periodic perturbations of difference systems with coefficients from commutative groups
JF - Journal of Difference Equations and Applications
VL - 29
IS - 1
SP - 43-66
EP - 43-66
PB - Taylor & Francis
SN - 10236198
KW - Limit periodicity
KW - almost periodicity
KW - limit periodic sequences
KW - almost periodic solutions
KW - difference equations
KW - linear equations
UR - https://doi.org/10.1080/10236198.2022.2159818
N2 - We study perturbations of homogeneous linear difference systems over infinite fields with absolute values. The coefficient matrices of the treated systems belong to commutative groups which do not need to be bounded. We present a general limit periodic transformation of an arbitrarily given system such that the obtained system has non-almost periodic solutions. We also formulate corollaries which show how the presented construction of the perturbed system improves and extends known results.
ER -
HASIL, Petr a Michal VESELÝ. Limit periodic perturbations of difference systems with coefficients from commutative groups. \textit{Journal of Difference Equations and Applications}. Taylor \&{} Francis, 2023, roč.~29, č.~1, s.~43-66. ISSN~1023-6198. Dostupné z: https://dx.doi.org/10.1080/10236198.2022.2159818.
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