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Bounds for the Vanishing Order for Solutions of a Linear Differential System
Authors:C. Moura
Affiliation:(1) Department of Mathematics, Weizmann institute of science, P.O. Box 26, Rehovot, 76100, Israel
Abstract:We provide upper bounds for the order of vanishing of a polynomial restricted to a solution of a linear differential system through a nonsingular point. We deduce an estimate on the maximum order of inflection of the trajectories of a linear nonautonomous vector field.
Keywords:Linder differential system  intersection multiplicity  order of inflection
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