Detail publikace

Report on the Absolute Differential Equations I

CHRASTINOVÁ, V. TRYHUK, V.

Originální název

Report on the Absolute Differential Equations I

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

Higher–order transformations, symmetry, diffiety, involutivity, controllability, characteristics.

Autoři

CHRASTINOVÁ, V.; TRYHUK, V.

Vydáno

20. 1. 2017

Nakladatel

Isaac Scientific Publishing Co.

Místo

Hong Kong

ISSN

2518-3680

Periodikum

Advances in Analysis

Ročník

2

Číslo

1

Stát

Čínská lidová republika

Strany od

41

Strany do

61

Strany počet

21

URL

http://www.isaacpub.org/images/PaperPDF/AAN_100029_2017012014404604851.pdf

BibTex

@article{BUT133853,
  author="Veronika {Chrastinová} and Václav {Tryhuk}",
  title="Report on the Absolute Differential Equations I",
  journal="Advances in Analysis",
  year="2017",
  volume="2",
  number="1",
  pages="41--61",
  doi="10.22606/aan.2017.11007",
  issn="2518-3680",
  url="http://www.isaacpub.org/images/PaperPDF/AAN_100029_2017012014404604851.pdf"
}