Inserted: 23 nov 2003
Last Updated: 15 oct 2006
Journal: International conference on fixed point theory and its applications (Valencia, 2003), G.G. Falset, E.L Fuster, B. Sims (ed.), Yokohama publishers, Yokohama
The results proved in this paper provide existence of an invariant measure for non-Carathéodory random dynamical systems typically coming from stochastic differential equations with nonregular solution flows. An example of such an equation is a stochastic differential equation with time delay in the diffusion.
Keywords: local operator, atomic operator, random dynamical system, invariant measure, stochastic flow, strong periodic solutions, stationary solutions, stochastic delay equation