Enviar artigo por via de e-mail Generalized Lie problem and differential invariants for the third order ODEs
- Autores: Bibikov P.V.1
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Afiliações:
- Institute of Control Sciences
- Edição: Volume 38, Nº 4 (2017)
- Páginas: 622-629
- Seção: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199569
- DOI: https://doi.org/10.1134/S1995080217040059
- ID: 199569
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Resumo
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.
Sobre autores
P. Bibikov
Institute of Control Sciences
Autor responsável pela correspondência
Email: tsdtp4u@proc.ru
Rússia, ul. Profsoyuznaya 65, Moscow, 117997
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