Point classification of 2nd order ODEs: Tresse classification revisited and beyond

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In 1896 Tresse gave a complete description of relative differential invariants for the pseudogroup action of point transformations on the 2nd order ODEs. The purpose of this paper is to review, in light of modern geometric approach to PDEs, this classification and also discuss the role of absolute invariants and the equivalence problem.

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Classical Analysis and ODEs, Differential Geometry, 34C14, 58H05; 58A20, 35A30

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http://salesiana.dossiersoluciones.com/handle/123456789/170112

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0809.4653
 http://arxiv.org/abs/0809.4653

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arXiv