Detail publikačního výsledku

Solving a higher-order linear discrete systems

MENCÁKOVÁ, K.; DIBLÍK, J.

Originální název

Solving a higher-order linear discrete systems

Anglický název

Solving a higher-order linear discrete systems

Druh

Stať ve sborníku v databázi WoS či Scopus

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.

Anglický 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

Klíčová slova v angličtině

delayed discrete cosine, delayed discrete dine, discrete equation

Autoři

MENCÁKOVÁ, K.; DIBLÍK, J.

Rok RIV

2018

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"
}