CHVÁTAL, Martin. Asymptotically almost periodic solutions of limit and almost periodic linear difference systems. Electronic Journal of Qualitative Theory of Differential Equations. Electronic Journal of Qualitative Theory of Differential Equations, 2015, vol. 2015, No 75, p. "nestrankovano", 17 pp. ISSN 1417-3875. Available from: https://dx.doi.org/10.14232/ejqtde.2015.1.75. |
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@article{1334074, author = {Chvátal, Martin}, article_number = {75}, doi = {http://dx.doi.org/10.14232/ejqtde.2015.1.75}, keywords = {limit periodicity; almost periodicity; asymptotic almost periodicity; limit periodic sequences; almost periodic sequences; linear difference systems}, language = {eng}, issn = {1417-3875}, journal = {Electronic Journal of Qualitative Theory of Differential Equations}, title = {Asymptotically almost periodic solutions of limit and almost periodic linear difference systems}, url = {http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4323}, volume = {2015}, year = {2015} }
TY - JOUR ID - 1334074 AU - Chvátal, Martin PY - 2015 TI - Asymptotically almost periodic solutions of limit and almost periodic linear difference systems JF - Electronic Journal of Qualitative Theory of Differential Equations VL - 2015 IS - 75 SP - "nestrankovano" EP - "nestrankovano" PB - Electronic Journal of Qualitative Theory of Differential Equations SN - 14173875 KW - limit periodicity KW - almost periodicity KW - asymptotic almost periodicity KW - limit periodic sequences KW - almost periodic sequences KW - linear difference systems UR - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4323 L2 - http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=4323 N2 - 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. ER -
CHVÁTAL, Martin. Asymptotically almost periodic solutions of limit and almost periodic linear difference systems. \textit{Electronic Journal of Qualitative Theory of Differential Equations}. Electronic Journal of Qualitative Theory of Differential Equations, 2015, vol.~2015, No~75, p.~''nestrankovano'', 17 pp. ISSN~1417-3875. Available from: https://dx.doi.org/10.14232/ejqtde.2015.1.75.
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