Differential invariants of 2--order ODEs, I

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dc.creatorYumaguzhin, Valeriy A.
dc.date2008-04-04
dc.date.accessioned2026-07-07T09:30:26Z
dc.date.available2026-07-07T09:30:26Z
dc.descriptionIn this paper, we investigate the action of pseudogroup of all point transformations on the natural bundle of equations $y''=a^3(x,y)(y')^3+a^2(x,y)(y')^2+a^1(x,y)y'+a^0(x,y)$. We construct differential invariants of this action and solve the equivalence problem for some classes of these equations in particular for generic equations.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0804.0674
dc.identifierhttp://arxiv.org/abs/0804.0674
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158122
dc.subjectDifferential Geometry
dc.subjectClassical Analysis and ODEs
dc.subject53A55; 53C10; 53C15; 34A30; 34A26; 34C20; 58F35
dc.titleDifferential invariants of 2--order ODEs, I
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