On the equivalence problem of generalized Abel ODEs under the action of the linear transformations pseudogroup
- Authors: Shurygin V.V.1
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Affiliations:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- Issue: Vol 37, No 1 (2016)
- Pages: 80-86
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197336
- DOI: https://doi.org/10.1134/S1995080216010091
- ID: 197336
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Abstract
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.
About the authors
V. V. Shurygin
N.I. Lobachevskii Institute of Mathematics and Mechanics
Author for correspondence.
Email: vshjr@yandex.ru
Russian Federation, Kremlevskaya str. 18, Kazan, 420008