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Generalization of Lie's counting theorems for second and third order ordinary differential equations

This work concerns two new theorems which count the maximum possible number of independent generators of a certain form which leave an ordinary differential equation of second or third order covariant. Sophus Lic has derived such theorems for a particular class of transformations. The new theorems contain Lic’s theorems as a suboase, and are therefore called ‘generalized” theorems.

Identiferoai:union.ndltd.org:pacific.edu/oai:scholarlycommons.pacific.edu:uop_etds-2810
Date01 January 1973
CreatorsDavison, Suzanne Marie
PublisherScholarly Commons
Source SetsUniversity of the Pacific
Detected LanguageEnglish
Typetext
Formatapplication/pdf
SourceUniversity of the Pacific Theses and Dissertations

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