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Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations

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Publication:352336
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DOI10.3842/SIGMA.2012.059zbMath1268.49042arXiv1203.1716MaRDI QIDQ352336

Oana Constantinescu

Publication date: 4 July 2013

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1203.1716


zbMATH Keywords

formal integrabilitypartial differential operatorsHelmholtz conditionsLagrangian semisprays


Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Variational principles in infinite-dimensional spaces (58E30) Inverse problems in optimal control (49N45) Obstructions to integrability for finite-dimensional Hamiltonian and Lagrangian systems (nonintegrability criteria) (37J30)


Related Items (1)

Generalized Helmholtz conditions for non-conservative Lagrangian systems







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