We apply the method of Jacobi Last Multiplier to the fifty second-order ordinary differential equations of Painleve' type as given in Ince in order to obtain a Lagrangian and consequently solve the inverse problem of Calculus of Variations for those equations. The easiness and straightforwardness of Jacobi’s method is underlined.

Lagrangians for equations of Painleve' type by means of Jacobi Last Multiplier

NUCCI, Maria Clara
2009

Abstract

We apply the method of Jacobi Last Multiplier to the fifty second-order ordinary differential equations of Painleve' type as given in Ince in order to obtain a Lagrangian and consequently solve the inverse problem of Calculus of Variations for those equations. The easiness and straightforwardness of Jacobi’s method is underlined.
2009
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11391/117824
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