论文标题
奇异随机延迟微分方程的动力学理论II：非线性方程和不变流形
A dynamical theory for singular stochastic delay differential equations II: Nonlinear equations and invariant manifolds
论文作者
论文摘要
在[GVRS]中获得的结果的基础上，我们证明了非线性，奇异随机延迟微分方程的局部稳定和不稳定的歧管定理。主要工具是粗糙的路径理论和用于作用于[GVR]获得的Banach空间的可测量田地的共生的半偏用乘法定理。
Building on results obtained in [GVRS], we prove Local Stable and Unstable Manifold Theorems for nonlinear, singular stochastic delay differential equations. The main tools are rough paths theory and a semi-invertible Multiplicative Ergodic Theorem for cocycles acting on measurable fields of Banach spaces obtained in [GVR].
