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Vanishing of higher-order moments on Lipschitz curves
Authors:Alexander Brudnyi
Affiliation:Department of Mathematics and Statistics, University of Calgary, Calgary, Canada
Abstract:We study some algebraic and topological objects that appear naturally in the study of the center problem for the ordinary differential equation View the MathML source. In particular, we give a topological characterization of Lipschitz curves defined by the first integrals of the coefficients of this equation such that all moments of order?n, nN, vanish on them.
Keywords:primary, 32E20   secondary, 34C07
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