A functional differential equation is, in one common usage, a differential equation in which the derivative of an unknown function
has a value at
that is related to
as a function of some other function at
. A general first-order functional differential equation is
therefore given by
In mathematical physics, the term is also used for an equation whose unknown is a functional and which contains one or more functional derivatives. The Dyson-Schwinger equations and the Wetterich equation are examples.