New Existence Theorems about the Solutions of Some Stochastic Integral   Equations
  Picard's iteration has been used to prove the existence and uniqueness of the solution for stochastic integral equations, here we use Schauder's fixed point theorem to give a new existence theorem about the solution of a stochastic integral equation, our theorem can weak some conditions gotten by applying Banach's fixed point theorem. 
Xuemei Chen and Yingying Qi and Chunyan Yang
math.FA