Solution to Rubel's question about differentially algebraic dependence on initial values

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dc.creatorKatriel, Guy
dc.date2002-10-31
dc.date2002-11-28
dc.date.accessioned2026-07-07T04:52:30Z
dc.date.available2026-07-07T04:52:30Z
dc.descriptionWe prove that, for generic systems of polynomial differential equations, the dependence of the solution on the initial conditions is not differentially algebraic. This answers, in the negative, a question posed by L.A. Rubel.
dc.identifierhttps://arxiv.org/abs/math/0210472
dc.identifierhttp://arxiv.org/abs/math/0210472
dc.identifierIllinois Journal of Mathematics, Volume 47, Issue 4 (Winter 2003)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65488
dc.subjectClassical Analysis and ODEs
dc.subject34A09; 12H05
dc.titleSolution to Rubel's question about differentially algebraic dependence on initial values
dc.typetext

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