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

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F04%3APU41639" target="_blank" >RIV/00216305:26110/04:PU41639 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

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

Original language description

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 Mongeequation $y'=f(x,y,z,z')$) 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.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

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Continuities

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Publication year

2004

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

ARCHIVUM MATHEMATICUM

ISSN

0044-8753

e-ISSN

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Volume of the periodical

40

Issue of the periodical within the volume

1

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

20

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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