Local operators and stochastic differential equations. (English) Zbl 0906.47034
Summary: We discuss some properties of a class of nonlinear operators which extend both superposition and compact ones. The choice of the class was strongly motivated by applications to stochastic differential and integral equations.
MSC:
47E05 | General theory of ordinary differential operators |
47G10 | Integral operators |
47H30 | Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) |