International Journal of Mathematics and Mathematical Sciences 
Volume 2005 (2005), Issue 22, Pages 3661-3683
doi:10.1155/IJMMS.2005.3661

Characterization of several classes of second-order ODEs by using differential invariants

A. Martín del Rey1 and J. Muñoz Masqué2

 1Departamento de Matemática Aplicada, E.P.S., Universidad de Salamanca, C/ Hornos Caleros 50, Ávila 05003, Spain
2Instituto de Física Aplicada, CSIC, C/ Serrano 144, Madrid 28006, Spain
Received 20 January 2005; Revised 12 September 2005

Abstract

Several classes of second-order ordinary differential equations are characterized intrinsically by means of differential invariants. The method is proved to be computationally feasible.