Report on the Absolute Differential Equations I

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F17%3APU122953" target="_blank" >RIV/00216305:26110/17:PU122953 - isvavai.cz</a>
Result on the web
<a href="http://www.isaacpub.org/images/PaperPDF/AAN_100029_2017012014404604851.pdf" target="_blank" >http://www.isaacpub.org/images/PaperPDF/AAN_100029_2017012014404604851.pdf</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.22606/aan.2017.11007" target="_blank" >10.22606/aan.2017.11007</a>

Result language
angličtina
Original language name
Report on the Absolute Differential Equations I
Original language description
The article provides a survey of the absolute theory of general systems of (partial) differential equations. The equations are relieved of all additional structures and subject to quite arbitrary change of the variables. An abstract mathematical theory in the Bourbaki sense with its own concepts and technical tools follows. In particular the external, internal, generalized and higher–order symmetries and infinitesimal symmetries together with the E. Cartan’s prolongations, various characteristics, the involutivity and the controllability structures are clarified in genuinely coordinate–free terms without any use of the common jet mechanisms.
Czech name
—
Czech description
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Project
<a href="/en/project/ED2.1.00%2F03.0097" target="_blank" >ED2.1.00/03.0097: AdMaS - Advanced Materials, Structures and Technologies</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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