Properties of solution set of stochastic inclusions (Q1315885)

Summary: The properties of the solution set of stochastic inclusions \[ x_ t- x_ s\in \text{cl}_{L^ 2}\left(\int^ t_ s F_ \tau(x_ \tau) d\tau+ \int^ t_ s G_ \tau(x_ \tau) dw_ \tau+ \int^ t_ s \int_{\mathbb{R}^ n} H_{\tau,z}(x_ \tau) \widetilde\nu(d\tau,dz)\right) \] are investigated. They are equivalent to properties of fixed points sets of appropriately defined set-valued mappings.