On the equivalence problem of generalized Abel ODEs under the action of the linear transformations pseudogroup

dc.contributor.author	Shurygin V.
dc.date.accessioned	2018-09-19T22:09:30Z
dc.date.available	2018-09-19T22:09:30Z
dc.date.issued	2016
dc.identifier.issn	1995-0802
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/144778
dc.description.abstract	© 2016, Pleiades Publishing, Ltd. 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.
dc.relation.ispartofseries	Lobachevskii Journal of Mathematics
dc.subject	Abel differential equations
dc.subject	differential invariants
dc.subject	point transformations
dc.title	On the equivalence problem of generalized Abel ODEs under the action of the linear transformations pseudogroup
dc.type	Article
dc.relation.ispartofseries-issue	1
dc.relation.ispartofseries-volume	37
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	80
dc.source.id	SCOPUS19950802-2016-37-1-SID84955495120

Files in this item

Name: SCOPUS19950802-20 ...

Size: 44.04Kb

Format: PDF

Публикации сотрудников КФУ Scopus [24551]
Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.