Universal differential equation
Encyclopedia
A universal differential equation (UDE) is a non-trivial differential algebraic equation with the property that its solutions can approximate
any continuous function
on any interval of the real line to any desired level of accuracy.
Approximation theory
In mathematics, approximation theory is concerned with how functions can best be approximated with simpler functions, and with quantitatively characterizing the errors introduced thereby...
any continuous function
Continuous function
In mathematics, a continuous function is a function for which, intuitively, "small" changes in the input result in "small" changes in the output. Otherwise, a function is said to be "discontinuous". A continuous function with a continuous inverse function is called "bicontinuous".Continuity of...
on any interval of the real line to any desired level of accuracy.