On the equivalence problem of generalized Abel ODEs under the action of the linear transformations pseudogroup
- 作者: Shurygin V.1
-
隶属关系:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- 期: 卷 37, 编号 1 (2016)
- 页面: 80-86
- 栏目: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197336
- DOI: https://doi.org/10.1134/S1995080216010091
- ID: 197336
如何引用文章
详细
In the present paper we establish the necessary and sufficient conditions for two generalized Abel differential equations to be locally equivalent under the action of the pseudogroup of linear transformations of the form {x ↦ f(x), y ↦ g(x) · y + h(x)}. These conditions are formulated in terms of differential invariants.
作者简介
V. Shurygin
N.I. Lobachevskii Institute of Mathematics and Mechanics
编辑信件的主要联系方式.
Email: vshjr@yandex.ru
俄罗斯联邦, Kremlevskaya str. 18, Kazan, 420008
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