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arXiv · 1610.09148

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

Etienne Couturier·Nicolas Jacquet
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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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Etienne Couturier, Nicolas Jacquet. 2016-10-28. Construction of a universal ordinary differential equation $C^{\infty}$ of order 3. https://doi.org/10.1016/j.bulsci.2017.06.002

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