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.File in questo prodotto:
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