We discuss existence results of mild solutions for stochastic differential inclusions subject to nonlocal conditions. We provide sufficient conditions in order to obtain a priori bounds on possible solutions of a one-parameter family of problems related to the original one. We, then, rely on fixed point theorems for multivalued operators to prove our main results.
Dr. Vinodkumar A. and Boucherif, A., “Existence Results for Stochastic Semilinear Differential Inclusions with nonlocal Conditions”, International Journal of Stochastic Analysis, vol. 2011, 2011.