A Dynamical Theory for Singular Stochastic Delay Differential Equations I: Linear Equations and a Multiplicative Ergodic Theorem on Fields of Banach Spaces
نویسندگان
چکیده
We show that singular stochastic delay differential equations (SDDEs) induce cocycle maps on a field of Banach spaces. A general Multiplicative Ergodic Theorem fields spaces is proved and applied to linear SDDEs. In Part II this article, we use our results prove stable manifold theorem for non-linear
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ژورنال
عنوان ژورنال: Siam Journal on Applied Dynamical Systems
سال: 2022
ISSN: ['1536-0040']
DOI: https://doi.org/10.1137/21m1433435