New Existence Theorems about the Solutions of Some Stochastic Integral Equations
Functional Analysis
2012-11-07 v1
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.
Keywords
Cite
@article{arxiv.1211.1249,
title = {New Existence Theorems about the Solutions of Some Stochastic Integral Equations},
author = {Xuemei Chen and Yingying Qi and Chunyan Yang},
journal= {arXiv preprint arXiv:1211.1249},
year = {2012}
}