Generalized Lie problem and differential invariants for the third order ODEs
- Авторы: Bibikov P.1
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Учреждения:
- Institute of Control Sciences
- Выпуск: Том 38, № 4 (2017)
- Страницы: 622-629
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199569
- DOI: https://doi.org/10.1134/S1995080217040059
- ID: 199569
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Аннотация
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.
Об авторах
P. Bibikov
Institute of Control Sciences
Автор, ответственный за переписку.
Email: tsdtp4u@proc.ru
Россия, ul. Profsoyuznaya 65, Moscow, 117997