{"id":{"repo_id":"u-pacific","oai_identifier":"oai:scholarlycommons.pacific.edu:uop_etds-2810"},"canonical_url":"https://search.dev.ndltd.org/etd/u-pacific/oai:scholarlycommons.pacific.edu:uop_etds-2810","repository":{"repo_id":"u-pacific","name":"University of the Pacific","base_url":"https://scholarlycommons.pacific.edu/do/oai/"},"display":{"title":"Generalization of Lie's counting theorems for second and third order ordinary differential equations","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. 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