Electronic Journal of Differential Equations,
Vol. 2005(2005), No. 33, pp. 1-4.

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

Authors: Raouf Dridi (Lille1 Univ., France)
         Sylvain Neut (Lille1 Univ., France)
 
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.