Construction of a universal ordinary differential equation $C^{\infty}$ of order 3

Published 28 Oct 2016 in math.CA | (1610.09148v1)

Abstract: A universal ordinary differential equation $C^{\infty}$ of order 3 is constructed here. The equation is universal in the sense that any continuous function on a real segment can be approximated by a solution of this equation with an arbitrary accuracy in uniform norm.

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