Symmetries and integration of differential equations

A proof of the Lie theorem which relates the symmetries of a first order differential equation (or of a linear differential form) with its integrating factors is given. It is shown that a similar result partially applies for systems of linear differential forms and ordinary differential equations of any order.

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Bibliographic Details
Main Authors: Torres del Castillo,Gerardo, Marciano Melchor,Magdalena
Format: Digital revista
Language:English
Published: Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas 2005
Online Access:http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262005000200005
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