Asymptotically almost periodic solutions of limit and almost periodic linear difference systems

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Authors	CHVÁTAL Martin
Year of publication	2015
Type	Article in Periodical
Magazine / Source	Electronic Journal of Qualitative Theory of Differential Equations
MU Faculty or unit	Faculty of Science
Citation
Web	http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=4323
Doi	http://dx.doi.org/10.14232/ejqtde.2015.1.75
Field	General mathematics
Keywords	limit periodicity; almost periodicity; asymptotic almost periodicity; limit periodic sequences; almost periodic sequences; linear difference systems
Description	In this paper, limit periodic and almost periodic homogeneous linear difference systems are considered. We study the systems in which the coefficient matrices are taken from a given bounded group and the elements of the matrices are from an infinite field with an absolute value. We show a condition on limit periodic and almost periodic systems which ensures, that the considered systems can be transformed into new systems having certain properties. The new systems possess non-asymptotically almost periodic solutions. The transformation can be done by arbitrarily small changes.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III Matematické struktury