Detail publikace

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

TRYHUK, V., DLOUHÝ, O.

Originální název

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

Typ

článek v časopise - ostatní, Jost

Jazyk

angličtina

Originální abstrakt

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.

Klíčová slova

moving frame, differential equations,underdetermined equations

Autoři

TRYHUK, V., DLOUHÝ, O.

Rok RIV

2004

Vydáno

1. 1. 2004

Nakladatel

Masaryk University

Místo

Brno

ISSN

0044-8753

Periodikum

ARCHIVUM MATHEMATICUM

Ročník

40

Číslo

1

Stát

Česká republika

Strany od

69

Strany do

88

Strany počet

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"
}