Symmetries and integration of differential equations

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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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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spelling oai:scielo:S0034-742620050002000052007-06-29Symmetries and integration of differential equationsTorres del Castillo,GerardoMarciano Melchor,Magdalena Ordinary differential equations symmetries 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.info:eu-repo/semantics/openAccessUniversidad Nacional de Colombia y Sociedad Colombiana de MatemáticasRevista Colombiana de Matemáticas v.39 n.2 20052005-12-01info:eu-repo/semantics/articletext/htmlhttp://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262005000200005en
institution SCIELO
collection OJS
country Colombia
countrycode CO
component Revista
access En linea
databasecode rev-scielo-co
tag revista
region America del Sur
libraryname SciELO
language English
format Digital
author Torres del Castillo,Gerardo
Marciano Melchor,Magdalena
spellingShingle Torres del Castillo,Gerardo
Marciano Melchor,Magdalena
Symmetries and integration of differential equations
author_facet Torres del Castillo,Gerardo
Marciano Melchor,Magdalena
author_sort Torres del Castillo,Gerardo
title Symmetries and integration of differential equations
title_short Symmetries and integration of differential equations
title_full Symmetries and integration of differential equations
title_fullStr Symmetries and integration of differential equations
title_full_unstemmed Symmetries and integration of differential equations
title_sort symmetries and integration of differential equations
description 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.
publisher Universidad Nacional de Colombia y Sociedad Colombiana de Matemáticas
publishDate 2005
url http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0034-74262005000200005
work_keys_str_mv AT torresdelcastillogerardo symmetriesandintegrationofdifferentialequations
AT marcianomelchormagdalena symmetriesandintegrationofdifferentialequations
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