Another universal differential equation

TL;DR

This paper introduces a new universal differential equation capable of approximating any continuous function on any interval with arbitrary accuracy, expanding the scope of universal approximation in differential equations.

Contribution

The paper constructs a novel universal differential equation that generalizes previous models, demonstrating its ability to approximate all continuous functions.

Findings

Solutions can approximate any continuous function on any interval.

The differential equation is universal in the sense of Rubel.

This work broadens the understanding of universal approximation in differential equations.

Abstract

I construct a new universal differential equation (B), in the sense of Rubel. That is, its solutions approximate to arbitrary accuracy any continuous function on any interval of the real line.