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The Helmholtz conditions for systems of second order homogeneous differential equations

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Publication:2859404
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DOI10.5486/PMD.2013.5500zbMath1289.34023MaRDI QIDQ2859404

Zbyněk Urban, Demeter Krupka

Publication date: 7 November 2013

Published in: Publicationes Mathematicae Debrecen (Search for Journal in Brave)


zbMATH Keywords

LagrangianFinsler geometryHelmholtz conditionspositive homogeneous functionZermelo conditionsvariational differential equation


Mathematics Subject Classification ID

Geometric methods in ordinary differential equations (34A26) Nonlinear ordinary differential equations and systems (34A34) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20)


Related Items (4)

Foundations of higher-order variational theory on Grassmann fibrations ⋮ A continuation fixed-point iterative method on harmonic generations with strong nonlinear optical effects in multi-layer structures ⋮ The Sonin–Douglas Problem ⋮ Variational Principles for Immersed Submanifolds




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