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@article{1483780, author = {Hasil, Petr and Veselý, Michal}, article_location = {TORUN}, article_number = {2}, doi = {http://dx.doi.org/10.12775/TMNA.2019.051}, keywords = {limit periodicity; almost periodicity; limit periodic sequences; asymptotically almost periodic solutions; difference equations}, language = {eng}, issn = {1230-3429}, journal = {Topological Methods in Nonlinear Analysis}, title = {Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups}, url = {https://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2019.051}, volume = {54}, year = {2019} }
TY - JOUR ID - 1483780 AU - Hasil, Petr - Veselý, Michal PY - 2019 TI - Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups JF - Topological Methods in Nonlinear Analysis VL - 54 IS - 2 SP - 515-535 EP - 515-535 PB - JULIUSZ SCHAUDER CTR NONLINEAR STUDIES SN - 12303429 KW - limit periodicity KW - almost periodicity KW - limit periodic sequences KW - asymptotically almost periodic solutions KW - difference equations UR - https://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2019.051 L2 - https://apcz.umk.pl/czasopisma/index.php/TMNA/article/view/TMNA.2019.051 N2 - We study the behaviour of solutions of limit periodic difference systems over (infinite) fields with absolute values. The considered systems are described by the coefficient matrices that belong to commutative groups whose boundedness is not required. In particular, we are interested in special systems with solutions which vanish at infinity or which are not asymptotically almost periodic. We obtain a transparent condition on the matrix groups which ensures that the special systems form a dense subset in the space of all considered systems, i.e., that, in any neighbourhood of any considered limit periodic system, there exists a system which have non-asymptotically almost periodic or vanishing solutions. The presented results improve and extend known ones. ER -
HASIL, Petr a Michal VESELÝ. Asymptotically almost periodic solutions of limit periodic difference systems with coefficients from commutative groups. \textit{Topological Methods in Nonlinear Analysis}. TORUN: JULIUSZ SCHAUDER CTR NONLINEAR STUDIES, 2019, roč.~54, č.~2, s.~515-535. ISSN~1230-3429. Dostupné z: https://dx.doi.org/10.12775/TMNA.2019.051.
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