Publication detail

The moving frames for differential equations II. Underdetermined and functional equations

TRYHUK, V., DLOUHÝ, O.

Original Title

The moving frames for differential equations II. Underdetermined and functional equations

Type

journal article - other

Language

English

Original Abstract

Continuing the idea of Part I, we deal with more involved pseudogroup of transformations $\bar x=\varphi (x),$ $\bar y=L(x)y,$ $\bar z=M(x)z,\, \ldots$ applied to the first order differential equations including the underdetermined case (e.g., the Monge equation $y'=f(x,y,z,z')$) and certain differential equations with deviation (if $z=y(\xi (x))$ is substituted). Our aim is to determine complete families of invariants resolving the equivalence problem and to clarify the largest possible symmetries. Together with Part I, this article may be regarded as an introduction into the method of moving frames adapted to the common theory of differential equations.

Keywords

moving frame, differential equations,underdetermined equations

Authors

TRYHUK, V., DLOUHÝ, O.

RIV year

2004

Released

1. 1. 2004

Publisher

Masaryk University

Location

Brno

ISBN

0044-8753

Periodical

ARCHIVUM MATHEMATICUM

Year of study

40

Number

1

State

Czech Republic

Pages from

69

Pages to

88

Pages count

20

BibTex

@article{BUT41896,
  author="Václav {Tryhuk} and Oldřich {Dlouhý}",
  title="The moving frames for differential equations II. Underdetermined and functional equations",
  journal="ARCHIVUM MATHEMATICUM",
  year="2004",
  volume="40",
  number="1",
  pages="69--88",
  issn="0044-8753"
}