Email this article Generalized Lie problem and differential invariants for the third order ODEs
- Authors: Bibikov P.V.1
-
Affiliations:
- Institute of Control Sciences
- Issue: Vol 38, No 4 (2017)
- Pages: 622-629
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199569
- DOI: https://doi.org/10.1134/S1995080217040059
- ID: 199569
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Abstract
In this work the generalized Lie problem for the third order ODEs ym = F(x, y) is studied. Symmetry algebra of contact transformations for such equations is calculated. Algebra of differential invariants for the action of the symmetry algebra on these equations is described. Classification theorem for two regular ODEs is obtained.
About the authors
P. V. Bibikov
Institute of Control Sciences
Author for correspondence.
Email: tsdtp4u@proc.ru
Russian Federation, ul. Profsoyuznaya 65, Moscow, 117997
