ABSTRACT
More often than not, significant external forces, which are also subject to noise, im-
pact the evolution of the process. An accurate mathematical model must account for
this. How does one incorporate such external forces into the IVPs and IBVPs and the
subsequent abstract formulation of them? What effect does this have on the solution
in the sense of existence, continuous dependence, long-term behavior, etc.? We focus
on these questions in this chapter.