A Nonlinear Integral Equation from the Theory of Servomechanisms
Vladimír Beneš · Bell System Technical Journal · 1961
The equation x(t) = s(t) − k×F(x)(t), where s(·) is a given signal, F(·) is a nonlinear function, k(·) is the response of a linear system, and∗ denotes convolution, describes a general class of servomechanisms. Properties of a solution x(·) can be established by finding a fixed point in a specific set of a function space, using Schauder's theorem.