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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Solutions of Delayed Linear Discrete Two-Dimensional Systems With Constant Coefficients in the Case of Single Zero Eigenvalue of the Matrix of Nondelayed Terms
Original language description
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.
Czech name
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Czech description
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Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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