42427

Автор(ы): 

Автор(ов): 

1

Параметры публикации

Тип публикации: 

Статья в журнале/сборнике

Название: 

Generalized Lie Problem and Differential Invariants for the Third Order ODEs

DOI: 

10.1134/S1995080217040059

Наименование источника: 

  • Lobachevskii Journal of Mathematics

Обозначение и номер тома: 

Vol. 38, No. 4

Город: 

  • Казань

Издательство: 

  • Pleiades Publishing, Ltd.

Год издания: 

2017

Страницы: 

622-629
Аннотация
In this work the generalized Lie problem for the third order ODEs y''' = 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.

Библиографическая ссылка: 

Бибиков П.В. Generalized Lie Problem and Differential Invariants for the Third Order ODEs // Lobachevskii Journal of Mathematics. 2017. Vol. 38, No. 4. С. 622-629.