Solutions of Delayed Linear Discrete Two-Dimensional Systems With Constant Coefficients in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F26%3A0199255" target="_blank" >RIV/00216305:26220/26:0199255 - isvavai.cz</a>

Výsledek na webu

<a href="https://pubs.aip.org/aip/acp/article-abstract/3315/1/260005/3363140/Solutions-of-delayed-linear-discrete-two?redirectedFrom=fulltext" target="_blank" >https://pubs.aip.org/aip/acp/article-abstract/3315/1/260005/3363140/Solutions-of-delayed-linear-discrete-two?redirectedFrom=fulltext</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0286081" target="_blank" >10.1063/5.0286081</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Solutions of Delayed Linear Discrete Two-Dimensional Systems With Constant Coefficients in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms

Popis výsledku v původním jazyce

Linear discrete two-dimensional systems of the form y(n + 1) = Cy(n) + Dy(n-ℓ), n≥0, where n is an independent variable and y: {-ℓ, -ℓ + 1,...}→ℝ2 is an unknown function, are considered provided that e is a positive fixed integer and the coefficients of the 2 by 2 constant matrices C and D satisfy conditions known for the so-called weakly delayed discrete systems. General solutions of such systems are constructed assuming that the matrix C has two real eigenvalues, with exactly one of them equaling zero. A problem is discussed on the minimal number of initial values necessary to define a solution and the number of independent arbitrary constants in the general solution.

Název v anglickém jazyce

Solutions of Delayed Linear Discrete Two-Dimensional Systems With Constant Coefficients in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms

Popis výsledku anglicky

Linear discrete two-dimensional systems of the form y(n + 1) = Cy(n) + Dy(n-ℓ), n≥0, where n is an independent variable and y: {-ℓ, -ℓ + 1,...}→ℝ2 is an unknown function, are considered provided that e is a positive fixed integer and the coefficients of the 2 by 2 constant matrices C and D satisfy conditions known for the so-called weakly delayed discrete systems. General solutions of such systems are constructed assuming that the matrix C has two real eigenvalues, with exactly one of them equaling zero. A problem is discussed on the minimal number of initial values necessary to define a solution and the number of independent arbitrary constants in the general solution.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

AIP Conf. Proc. 3315, 260002 (2025)

ISBN

9780735452459

ISSN

0094-243X

e-ISSN

1551-7616

Počet stran výsledku

4

Strana od-do

260005-1-260005-4

Název nakladatele

American Institute of Physics

Místo vydání

USA

Místo konání akce

Heraclion

Datum konání akce

11. 9. 2023

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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