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.
Seeking (and finding) Lagrangians / NUCCI, Maria Clara. - In: THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 0040-5779. - STAMPA. - 160:(2009), pp. 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:
Eventuali allegati, non sono esposti
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
