论文标题
适用于本地运营商的定理定理，并应用于随机方程式
A fixed-point theorem for local operators with applications to stochastic equations
论文作者
论文摘要
我们研究了适应于随机点的抽象空间中非线性非压缩操作器方程的弱和强溶液。本文的主要结果类似于Schauder的紧凑型操作员定理。说明性示例说明了如何将该分析应用于随机微分方程。
We study weak and strong solutions of nonlinear non-compact operator equations in abstract spaces of adapted random points. The main result of the paper is similar to Schauder's fixed-point theorem for compact operators. The illustrative examples explain how this analysis can be applied to stochastic differential equations.
