KFU. Card publication. On the Equivalence of First-Order Abel Equations with Coefficients Depending on the Control Parameter

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FEDERAL UNIVERSITY

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ON THE EQUIVALENCE OF FIRST-ORDER ABEL EQUATIONS WITH COEFFICIENTS DEPENDING ON THE CONTROL PARAMETER

Form of presentation

Articles in international journals and collections

Year of publication

2020

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Authors, employees of KFU

Shurygin Vadim Vadimovich, author

Bibliographic description in the original language

Shurygin V.V., On the Equivalence of First-Order Abel Equations with Coefficients Depending on the Control Parameter//Journal of Mathematical Sciences (United States). - 2020. - Vol.248, Is.4. - P.505-510.

Annotation

In this paper, we have found necessary and sufficient conditions under which two Abel equations with coefficients depending on a control parameter are locally equivalent with respect to the same pseudogroup of feedback transformations. These conditions are formulated in terms of differential invariants.

Keywords

Abel equations, differential invariants, feedback transformation, control parameter

The name of the journal

Journal of Mathematical Sciences (United States)

URL

https://www.scopus.com/inward/record.uri?eid=2-s2.0-85086814781&doi=10.1007%2fs10958-020-04891-1&partnerID=40&md5=f740007e9a6708f53583522b1e8523a2

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

https://repository.kpfu.ru/eng/?p_id=242336&p_lang=2

Full metadata record

Field DC	Value	Language
dc.contributor.author	Shurygin Vadim Vadimovich	ru_RU
dc.date.accessioned	2020-01-01T00:00:00Z	ru_RU
dc.date.available	2020-01-01T00:00:00Z	ru_RU
dc.date.issued	2020	ru_RU
dc.identifier.citation	Shurygin V.V., On the Equivalence of First-Order Abel Equations with Coefficients Depending on the Control Parameter//Journal of Mathematical Sciences (United States). - 2020. - Vol.248, Is.4. - P.505-510.	ru_RU
dc.identifier.uri	https://repository.kpfu.ru/eng/?p_id=242336&p_lang=2	ru_RU
dc.description.abstract	Journal of Mathematical Sciences (United States)	ru_RU
dc.description.abstract	In this paper, we have found necessary and sufficient conditions under which two Abel equations with coefficients depending on a control parameter are locally equivalent with respect to the same pseudogroup of feedback transformations. These conditions are formulated in terms of differential invariants.	ru_RU
dc.language.iso	ru	ru_RU
dc.subject	Abel equations	ru_RU
dc.subject	differential invariants	ru_RU
dc.subject	feedback transformation	ru_RU
dc.subject	control parameter	ru_RU
dc.title	On the Equivalence of First-Order Abel Equations with Coefficients Depending on the Control Parameter	ru_RU
dc.type	Articles in international journals and collections	ru_RU