首页|A dynamical theory for singular stochastic delay differential equations
I: Linear equations and a Multiplicative Ergodic Theorem on fields of Banach
spaces
A dynamical theory for singular stochastic delay differential equations I: Linear equations and a Multiplicative Ergodic Theorem on fields of Banach spaces
A dynamical theory for singular stochastic delay differential equations I: Linear equations and a Multiplicative Ergodic Theorem on fields of Banach spaces
We show that singular stochastic delay differential equations (SDDEs) induce cocycle maps on a field of Banach spaces. A general Multiplicative Ergodic Theorem on fields of Banach spaces is proved and applied to linear SDDEs. In Part II of this article, we use our results to prove a stable manifold theorem for non-linear singular SDDEs.
Michael Scheutzow、Sebastian Riedel、Mazyar Ghani Varzaneh
数学
Michael Scheutzow,Sebastian Riedel,Mazyar Ghani Varzaneh.A dynamical theory for singular stochastic delay differential equations I: Linear equations and a Multiplicative Ergodic Theorem on fields of Banach spaces[EB/OL].(2019-03-04)[2025-07-21].https://arxiv.org/abs/1903.01172.点此复制
评论