HASIL, Petr a Michal VESELÝ. Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups. Journal of Difference Equations and Applications. Abingdon: Taylor and Francis, 2017, roč. 23, č. 8, s. 1324-1353. ISSN 1023-6198. Dostupné z: https://dx.doi.org/10.1080/10236198.2017.1326912. |
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@article{1389981, author = {Hasil, Petr and Veselý, Michal}, article_location = {Abingdon}, article_number = {8}, doi = {http://dx.doi.org/10.1080/10236198.2017.1326912}, keywords = {Limit periodicity; almost periodicity; almost periodic sequences; almost periodic solutions; linear difference equations}, language = {eng}, issn = {1023-6198}, journal = {Journal of Difference Equations and Applications}, title = {Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups}, volume = {23}, year = {2017} }
TY - JOUR ID - 1389981 AU - Hasil, Petr - Veselý, Michal PY - 2017 TI - Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups JF - Journal of Difference Equations and Applications VL - 23 IS - 8 SP - 1324-1353 EP - 1324-1353 PB - Taylor and Francis SN - 10236198 KW - Limit periodicity KW - almost periodicity KW - almost periodic sequences KW - almost periodic solutions KW - linear difference equations N2 - We analyse the solution spaces of limit periodic homogeneous linear difference systems, where the coefficient matrices of the considered systems are taken from a commutative group which does not need to be bounded. In particular, we study such systems whose fundamental matrices are not asymptotically almost periodic or which have solutions vanishing at infinity. We identify a simple condition on the matrix group which guarantees that the studied systems form a dense subset in the space of all considered systems. The obtained results improve previously known theorems about non-almost periodic and non-asymptotically almost periodic solutions. Note that the elements of the coefficient matrices are taken from an infinite field with an absolute value and that the corresponding almost periodic case is treated as well. ER -
HASIL, Petr a Michal VESELÝ. Solution spaces of homogeneous linear difference systems with coefficient matrices from commutative groups. \textit{Journal of Difference Equations and Applications}. Abingdon: Taylor and Francis, 2017, roč.~23, č.~8, s.~1324-1353. ISSN~1023-6198. Dostupné z: https://dx.doi.org/10.1080/10236198.2017.1326912.
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