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New Existence Theorems about the Solutions of Some Stochastic Integral Equations

Published 6 Nov 2012 in math.FA | (1211.1249v1)

Abstract: 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.

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