On a Generalization of Helmholtz Conditions

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61988987%3A17310%2F09%3AA1000WKW" target="_blank" >RIV/61988987:17310/09:A1000WKW - 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

On a Generalization of Helmholtz Conditions

Original language description

Helmholtz conditions in the calculus of variations are necessary and sufficient cinditions for a system of differential equations to be variational ?as it stands?. It is known that this property geometrically means that the corresponding dynamical form representing the equations (i.e. a source form of degree n+1 in the variational sequence) can be completed to closed form. We study an analogous property for source forms of degree 3 in mechanics (n=1).

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

S - Specificky vyzkum na vysokych skolach

Publication year

2009

Confidentiality

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

Name of the periodical

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ISSN

1214-8148

e-ISSN

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Volume of the periodical

17

Issue of the periodical within the volume

zima

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

11

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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