On the inverse problem of calculus of variations for fourth-order equations

DOI10.1098/rspa.2009.0618zbMath1200.35054OpenAlexW2144599485MaRDI QIDQ3575289

Maria Clara Nucci, A. M. Arthurs

Publication date: 27 July 2010

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2009.0618

zbMATH Keywords

Lagrangianfourth-order ordinary differential equationsJacobi last multiplierinverse problem of calculus of variations

Mathematics Subject Classification ID

Symmetries, invariants of ordinary differential equations (34C14) Nonlinear higher-order PDEs (35G20) Inverse problems involving ordinary differential equations (34A55)

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Cites Work

• Lagrangians galore
• Jacobi’s last multiplier and Lagrangians for multidimensional systems