Limit periodic perturbations of difference systems with coefficients from commutative groups

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Authors

HASIL Petr VESELÝ Michal

Year of publication 2023
Type Article in Periodical
Magazine / Source Journal of Difference Equations and Applications
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.1080/10236198.2022.2159818
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
Description 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.
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