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Generalization of Lie's counting theorems for second and third order ordinary differential equations
Date of Award
1973
Document Type
Thesis
Degree Name
Master of Science (M.S.)
Department
Graduate Studies
First Advisor
Robert L. Anderson
First Committee Member
George Bluman
Second Committee Member
Carl E. Wulfman
Third Committee Member
Roland B. diFranco
Abstract
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.
Pages
92
Recommended Citation
Davison, Suzanne Marie. (1973). Generalization of Lie's counting theorems for second and third order ordinary differential equations. University of the Pacific, Thesis. https://scholarlycommons.pacific.edu/uop_etds/1811
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