Algebraic Properties of First Integrals for Scalar Linear Third-Order ODEs of Maximal Symmetry

By use of the Lie symmetry group methods we analyze the relationship between the first integrals of the simplest linear third-order ordinary differential equations (ODEs) and their point symmetries. It is well known that there are three classes of linear third-order ODEs for maximal cases of point s...

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Bibliographic Details
Main Authors: K. S. Mahomed, E. Momoniat
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/530365