Publication detail

The moving frames for differential equations I. The change of independent variable

TRYHUK, V. DLOUHÝ, O.

Original Title

The moving frames for differential equations I. The change of independent variable

Type

journal article - other

Language

English

Original Abstract

The article concerns the symmetries of differential equations with short digressions to the underdetermined case and the relevant differential equations with delays. It may be regarded as an introduction into the method of moving frames relieved of the geometrical aspects: the stress is made on the technique of calculations employing only the most fundamental properties of differential forms. The present Part I is devoted to a single ordinary differential equation subjected to the change of the independent variable, the unknown function is preserved.

Keywords

moving coframe, equivalence of differential equations, symmetry of differential equations, differential invariant, Maurer-Cartan form

Authors

TRYHUK, V.; DLOUHÝ, O.

RIV year

2003

Released

1. 1. 2003

Publisher

Masaryk University

Location

Brno

ISBN

0044-8753

Periodical

ARCHIVUM MATHEMATICUM

Year of study

39

Number

4

State

Czech Republic

Pages from

317

Pages to

333

Pages count

17

BibTex

@article{BUT41893,
  author="Václav {Tryhuk} and Oldřich {Dlouhý}",
  title="The moving frames for differential equations I. The change of independent variable",
  journal="ARCHIVUM MATHEMATICUM",
  year="2003",
  volume="39",
  number="4",
  pages="317--333",
  issn="0044-8753"
}