Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations

We address the integrability conditions of the inverse problem of the calculus of variations for time-dependent SODE using the Spencer version of the Cartan-Kähler theorem. We consider a linear partial differential operator P given by the two Helmholtz conditions expressed in terms of semi-basic 1-f...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2012
Main Author: Constantinescu, O.
Format: Article
Language:English
Published: Інститут математики НАН України 2012
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/148385
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations / O. Constantinescu // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 40 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine