On the equivalence problem of generalized Abel ODEs under the action of the linear transformations pseudogroup
- Авторлар: Shurygin V.1
-
Мекемелер:
- N.I. Lobachevskii Institute of Mathematics and Mechanics
- Шығарылым: Том 37, № 1 (2016)
- Беттер: 80-86
- Бөлім: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/197336
- DOI: https://doi.org/10.1134/S1995080216010091
- ID: 197336
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
V. Shurygin
N.I. Lobachevskii Institute of Mathematics and Mechanics
Хат алмасуға жауапты Автор.
Email: vshjr@yandex.ru
Ресей, Kremlevskaya str. 18, Kazan, 420008
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