KFU. Card publication. On the equivalence problem of generalized Abel ODEs under the action of the linear transformations pseudogroup

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FEDERAL UNIVERSITY

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ON THE EQUIVALENCE PROBLEM OF GENERALIZED ABEL ODES UNDER THE ACTION OF THE LINEAR TRANSFORMATIONS PSEUDOGROUP

Form of presentation

Articles in international journals and collections

Year of publication

2016

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Authors, employees of KFU

Shurygin Vadim Vadimovich, author

Bibliographic description in the original language

Shurygin V.V, Jr., On the equivalence problem of generalized Abel ODEs under the action of the linear transformations pseudogroup//Lobachevskii Journal of Mathematics. - 2016. - Vol.37, Is.1. - P.80-86.

Annotation

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 $\{x\mapsto f(x),~ y\mapsto g(x)\cdot y + h(x)\}$. These conditions are formulated in terms of differential invariants.

Keywords

Abel differential equations, point transformations, differential invariants

The name of the journal

Lobachevskii Journal of Mathematics

URL

http://www.scopus.com/inward/record.url?eid=2-s2.0-84955495120&partnerID=40&md5=be023a91c4b0a62d1e5801ff09c811d0

Please use this ID to quote from or refer to the card

https://repository.kpfu.ru/eng/?p_id=130315&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Shurygin Vadim Vadimovich	ru_RU
dc.date.accessioned	2016-01-01T00:00:00Z	ru_RU
dc.date.available	2016-01-01T00:00:00Z	ru_RU
dc.date.issued	2016	ru_RU
dc.identifier.citation	Shurygin V.V, Jr., On the equivalence problem of generalized Abel ODEs under the action of the linear transformations pseudogroup//Lobachevskii Journal of Mathematics. - 2016. - Vol.37, Is.1. - P.80-86.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=130315&p_lang=2	ru_RU
dc.description.abstract	Lobachevskii Journal of Mathematics	ru_RU
dc.description.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 $\{x\mapsto f(x),~ y\mapsto g(x)\cdot y + h(x)\}$. These conditions are formulated in terms of differential invariants.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Abel differential equations	ru_RU
dc.subject	point transformations	ru_RU
dc.subject	differential invariants	ru_RU
dc.title	On the equivalence problem of generalized Abel ODEs under the action of the linear transformations pseudogroup	ru_RU
dc.type	Articles in international journals and collections	ru_RU