Construction of a universal ordinary differential equation $C^{\infty}$ of order 3
Classical Analysis and ODEs
2017-09-25 v1
Abstract
A universal ordinary differential equation 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.
Keywords
Cite
@article{arxiv.1610.09148,
title = {Construction of a universal ordinary differential equation $C^{\infty}$ of order 3},
author = {Etienne Couturier and Nicolas Jacquet},
journal= {arXiv preprint arXiv:1610.09148},
year = {2017}
}