It is well known that for any second-order ordinary differential equation (ODE), a Lagrangian always exists, and the key to its construction is the Jacobi last multiplier. Is it possible to find Lagrangians for first-order systems of ODEs or for higher-order ODEs? We show that the Jacobi last multiplier can also play a major role in this case.
NUCCI, M.C. (2009). Seeking (and finding) Lagrangians. THEORETICAL AND MATHEMATICAL PHYSICS, 160, 1014-1021 [10.1007/s11232-009-0092-5].
Seeking (and finding) Lagrangians
NUCCI, Maria Clara
2009
Abstract
It is well known that for any second-order ordinary differential equation (ODE), a Lagrangian always exists, and the key to its construction is the Jacobi last multiplier. Is it possible to find Lagrangians for first-order systems of ODEs or for higher-order ODEs? We show that the Jacobi last multiplier can also play a major role in this case.File in questo prodotto:
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