Representation of solutions of higher-order linear discrete systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU123884" target="_blank" >RIV/00216305:26220/17:PU123884 - isvavai.cz</a>
Result on the web
<a href="http://mitav.unob.cz" target="_blank" >http://mitav.unob.cz</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Representation of solutions of higher-order linear discrete systems
Original language description
A linear discrete homogenous system of the order $(m+2)$: Delta^2 x(k) + B^2 x(k-m)= f(k), k inbN_0 is considered where B is a constant n times n regular matrix, m in bN_0 and xcolon { -m, -m+1, dots} to bR^n, fcolonbZ_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.
Czech name
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Czech description
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Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Matematika, informační technologie a aplikované vědy
ISBN
978-80-7231-417-1
ISSN
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e-ISSN
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Number of pages
9
Pages from-to
1-9
Publisher name
Univerzita obrany
Place of publication
Brno
Event location
Brno
Event date
Jun 15, 2017
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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