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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
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" }