Generalized Lie problem and differential invariants for the third order ODEs
- 作者: Bibikov P.1
-
隶属关系:
- Institute of Control Sciences
- 期: 卷 38, 编号 4 (2017)
- 页面: 622-629
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/199569
- DOI: https://doi.org/10.1134/S1995080217040059
- ID: 199569
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详细
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.
作者简介
P. Bibikov
Institute of Control Sciences
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