Generalized Lie problem and differential invariants for the third order ODEs
- Авторлар: Bibikov P.1
-
Мекемелер:
- Institute of Control Sciences
- Шығарылым: Том 38, № 4 (2017)
- Беттер: 622-629
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199569
- DOI: https://doi.org/10.1134/S1995080217040059
- ID: 199569
Дәйексөз келтіру
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.
Авторлар туралы
P. Bibikov
Institute of Control Sciences
Хат алмасуға жауапты Автор.
Email: tsdtp4u@proc.ru
Ресей, ul. Profsoyuznaya 65, Moscow, 117997