Non-almost periodic solutions of limit periodic and almost periodic homogeneous linear difference systems

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Authors	CHVÁTAL Martin
Year of publication	2014
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=3568
Field	General mathematics
Keywords	limit periodicity; almost periodicity; almost periodic sequences; almost periodic solutions; limit periodic sequences; linear difference systems
Description	We study limit periodic and almost periodic homogeneous linear difference systems. The coefficient matrices of the considered systems are taken from a given commutative group. We mention a condition on the group which ensures that, by arbitrarily small changes, the considered systems can be transformed to new systems, which do not possess any almost periodic solution other than the trivial one. The elements of the coefficient matrices are taken from an infinite field with an absolute value.
Related projects:	Diferenční rovnice a dynamické rovnice na time scales III Matematické struktury