Electron. J. Diff. Eqns., Vol. 2005(2005), No. 33, pp. 1-4.

Fiber preserving transformations and the equation $y'''=f(x,y,y',y'')$

Raouf Dridi, Sylvain Neut

Abstract:
In this paper, we give simple explicit conditions for a third order ordinary differential equation to be equivalent to the equations $y'''=0$ and $y'''+y=0$ under fiber preserving transformations.

Submitted February 3, 2005. Published March 22, 2005.
Math Subject Classifications: 58A15, 58A17, 58A20.
Key Words: Cartan's method; equivalence problem; fiber preserving transformations.

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Raouf Dridi
LIFL Laboratory, Campus Box 59655
Lille1 University
Villeneuve D'Ascq, France
email: dridi@lifl.fr
Sylvain Neut
LIFL Laboratory, Campus Box 59655
Lille1 University
Villeneuve D'Ascq, France
email: neut@lifl.fr

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