Detail publikačního výsledku

Representation of solutions of higher-order linear discrete systems

DIBLÍK, J.; MENCÁKOVÁ, K.

Originální název

Representation of solutions of higher-order linear discrete systems

Anglický název

Representation of solutions of higher-order linear discrete systems

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

A linear discrete homogenous system of the order $(m+2)$: \Delta^2 x(k) + B^2 x(k-m)= f(k), k \in\bN_0 is considered where B is a constant n \times n regular matrix, m \in \bN_0 and x\colon \{ -m, -m+1, \dots\} \to \bR^n, f\colon\bZ_0^{\infty} \rightarrow \bR^n. Two linearly independent solutions are found as a special matrix functions called delayed discrete cosine and delayed discrete sine. Utilizing these matrix functions formulas for solutions are derived. An example illustrating results is given as well.

Anglický abstrakt

A linear discrete homogenous system of the order $(m+2)$: \Delta^2 x(k) + B^2 x(k-m)= f(k), k \in\bN_0 is considered where B is a constant n \times n regular matrix, m \in \bN_0 and x\colon \{ -m, -m+1, \dots\} \to \bR^n, f\colon\bZ_0^{\infty} \rightarrow \bR^n. Two linearly independent solutions are found as a special matrix functions called delayed discrete cosine and delayed discrete sine. Utilizing these matrix functions formulas for solutions are derived. An example illustrating results is given as well.

Klíčová slova

delayed cosine; delayed sine; discrete equation

Klíčová slova v angličtině

delayed cosine; delayed sine; discrete equation

Autoři

DIBLÍK, J.; MENCÁKOVÁ, K.

Rok RIV

2018

Vydáno

15.06.2017

Nakladatel

Univerzita obrany

Místo

Brno

ISBN

978-80-7231-417-1

Kniha

Matematika, informační technologie a aplikované vědy

Strany od

1

Strany do

9

Strany počet

9

URL

http://mitav.unob.cz

BibTex

@inproceedings{BUT137196,
  author="Josef {Diblík} and Kristýna {Mencáková}",
  title="Representation of solutions of higher-order linear discrete systems",
  booktitle="Matematika, informační technologie a aplikované vědy",
  year="2017",
  number="1",
  pages="1--9",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7231-417-1",
  url="http://mitav.unob.cz"
}