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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A symmetry completeness criterion for second-order differential equations


Author: Larry Bates
Journal: Proc. Amer. Math. Soc. 132 (2004), 1785-1786
MSC (2000): Primary 34C14
Published electronically: December 1, 2003
MathSciNet review: 2051142
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Abstract: A simple criterion for the completeness of an infinitesimal automorphism of a second-order differential equation is given.


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Additional Information

Larry Bates
Affiliation: Department of Mathematics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
Email: bates@math.ucalgary.ca

DOI: http://dx.doi.org/10.1090/S0002-9939-03-07228-9
PII: S 0002-9939(03)07228-9
Keywords: Second-order differential equations, symmetry, completeness
Received by editor(s): February 12, 2003
Received by editor(s) in revised form: February 17, 2003
Published electronically: December 1, 2003
Additional Notes: This research was partially supported by NSERC
Communicated by: Carmen C. Chicone
Article copyright: © Copyright 2003 American Mathematical Society