Strongly Nonlinear Differential Equations with Carlitz Derivatives over a Function Field

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dc.creatorKochubei, Anatoly N.
dc.date2004-05-28
dc.date.accessioned2026-07-07T05:08:40Z
dc.date.available2026-07-07T05:08:40Z
dc.descriptionIn earlier papers the author studied some classes of equations with Carlitz derivatives for $\mathbb F_q$-linear functions, which are the natural function field counterparts of linear ordinary differential equations. Here we consider equations containing self-compositions $u\circ u\circ ... \circ u$ of the unknown function. As an algebraic background, imbeddings of the composition ring of $\mathbb F_q$-linear holomorphic functions into skew fields are considered.
dc.description10 pages, LaTeX-2e
dc.identifierhttps://arxiv.org/abs/math/0405542
dc.identifierhttp://arxiv.org/abs/math/0405542
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71359
dc.subjectNumber Theory
dc.subject11G09; 11S80; 12H99
dc.titleStrongly Nonlinear Differential Equations with Carlitz Derivatives over a Function Field
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