Representation of Solutions of Linear Differential Systems of the Second Order with Constant Delays

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F17%3APU126166" target="_blank" >RIV/00216305:26220/17:PU126166 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s10958-017-3304-9" target="_blank" >http://dx.doi.org/10.1007/s10958-017-3304-9</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10958-017-3304-9" target="_blank" >10.1007/s10958-017-3304-9</a>

Result language
angličtina
Original language name
Representation of Solutions of Linear Differential Systems of the Second Order with Constant Delays
Original language description
We deduce representations for the solutions of initial-value problems for n-dimensional differential equations of the second order with delays:x″(t)=2Ax′(t-τ)-(A2+B2)x(t-2τ) and x″(t)=(A+B)x′(t-τ)-ABx(t-2τ) by using special delay matrix functions. Here, A and B are commuting (n x n)-matrices and τ > 0. Moreover, a formula connecting the delay matrix exponential function with delayed matrix sine and delayed matrix cosine is obtained. We also discuss common features of the considered equations
Czech name
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Czech description
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Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GAP201%2F11%2F0768" target="_blank" >GAP201/11/0768: Qualitative properties of solutions of differential equations and their applications</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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