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.

Name thesis:degree_name

Master of Science (M.S.)

Level thesis:degree_level

Thesis

Discipline thesis:degree_discipline

Graduate Studies

Year dc:date.available

1973

Author dc:creator

• Davison, Suzanne Marie

Contributors dc:contributor

• Robert L. Anderson

• Continuous groups
• Differential equations
• Physical Sciences and Mathematics

Licence

• http://rightsstatements.org/vocab/NKC/1.0/

Repository record dc:identifier

https://scholarlycommons.pacific.edu/uop_etds/1811

OAI identifier oai:identifier

oai:scholarlycommons.pacific.edu:uop_etds-2810