Representation of solutions to a linear matrix first-order differential equation with delay

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F26%3A0199054" target="_blank" >RIV/00216305:26620/26:0199054 - isvavai.cz</a>
Result on the web
<a href="https://www.worldscientific.com/doi/10.1142/S1664360725500171" target="_blank" >https://www.worldscientific.com/doi/10.1142/S1664360725500171</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1142/S1664360725500171" target="_blank" >10.1142/S1664360725500171</a>

Result language
angličtina
Original language name
Representation of solutions to a linear matrix first-order differential equation with delay
Original language description
Linear matrix delayed differential equation (X)over dot(t) = BX(t - tau) + X(t - tau)C + F(t),t is an element of [0,infinity) is dealt with, where tau > 0 is a delay, t is an independent variable, X(t) is an n x n unknown variable matrix, B and C are given n x n constant matrices, and F(t) is a given n x n variable matrix. Under some commutativity conditions, a formula is derived for solving an initial problem X(t) = Psi(t), t is an element of [-tau, 0], where Psi(t) is an n x n variable matrix. Previous results are discussed and open problems for further investigations suggested.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/GA23-06476S" target="_blank" >GA23-06476S: Analysis of Discrete and Continuous Dynamical Systems with Emphasis on Identification Problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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