Nonlinear stochastic dynamical systems in physical problems
A lot of nonlinear equations (important in physics) has the form \({\mathcal F}y=x(t,\omega)\), where x(t,\(\omega)\) is a stochastic process. Such equations can be solved by decomposition into deterministic and stochastic parts as well as into linear and nonlinear parts of the operator \({\mathcal F}\). The case when there exists Green's function for the deterministic linear part is considered in particular.
scientific article; zbMATH DE number 3932138