Representation of solutions of higher-order linear discrete systems

Popis výsledku

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Jazyk výsledku
angličtina
Název v původním jazyce
Representation of solutions of higher-order linear discrete systems
Popis výsledku v původním jazyce
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.
Název v anglickém jazyce
Representation of solutions of higher-order linear discrete systems
Popis výsledku anglicky
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.

Rok uplatnění
2017
Kód důvěrnosti údajů
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Druh výsledku

D - Stať ve sborníku

OECD FORD

Pure mathematics

Rok uplatnění

2017