Discrete-space systems of partial dynamic equations and discrete-space wave equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F17%3A10368102" target="_blank" >RIV/00216208:11320/17:10368102 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s12346-016-0193-0" target="_blank" >http://dx.doi.org/10.1007/s12346-016-0193-0</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s12346-016-0193-0" target="_blank" >10.1007/s12346-016-0193-0</a>

Result language
angličtina
Original language name
Discrete-space systems of partial dynamic equations and discrete-space wave equation
Original language description
We study the well-posedness of initial-value problems for systems of partial dynamic equations with discrete space and arbitrary time domain. We also present the superposition principle for infinite linear combinations of solutions. As an example, we consider the discrete-space wave equation, which is equivalent to a pair of first-order equations. We provide a general method for finding fundamental solutions and illustrate it on several examples of time scales.
Czech name
—
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
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OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GA15-07690S" target="_blank" >GA15-07690S: Partial Difference and Differential Equations on Lattices</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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