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MENCÁKOVÁ, K. DIBLÍK, J.
Originální název
Solving a higher-order linear discrete systems
Typ
článek ve sborníku ve WoS nebo Scopus
Jazyk
angličtina
Originální abstrakt
In this paper there is considered a linear discrete homogenous system of the order (m + 2): Delta(2)x(k) + B(2)x(k - m) = f(k), k is an element of N-0, where B is a constant n x n regular matrix, m is an element of N-0 and x: {-m, m + 1, ...} -> R-n, f: Z(0)(infinity) -> R-n. Two linearly independent solutions will be found as special matrix functions called delayed discrete cosine and delayed discrete sine. Formulas for solutions are gotten utilizing these matrix functions. An example illustrating results is given as well.
Klíčová slova
delayed discrete cosine, delayed discrete dine, discrete equation
Autoři
MENCÁKOVÁ, K.; DIBLÍK, J.
Vydáno
18. 12. 2017
Nakladatel
Univerzita obrany, Brno
Místo
Brno
ISBN
978-80-7582-026-6
Kniha
Mathematics, InformationTechnologies and Applied Sciences 2017
Strany od
77
Strany do
91
Strany počet
15
URL
http://mitav.unob.cz/data/MITAV2017 Proceedings.pdf
BibTex
@inproceedings{BUT143791, author="Kristýna {Mencáková} and Josef {Diblík}", title="Solving a higher-order linear discrete systems", booktitle="Mathematics, InformationTechnologies and Applied Sciences 2017", year="2017", pages="77--91", publisher="Univerzita obrany, Brno", address="Brno", isbn="978-80-7582-026-6", url="http://mitav.unob.cz/data/MITAV2017 Proceedings.pdf" }