Abstract
In this chapter, we investigate ergodicity for certain classes of functional stochastic equations including functional stochastic differential equations (FSDEs for short) driven by Brownian motions, FSDEs of neutral type, FSDEs driven by jump processes, functional stochastic partial differential equations (FSPDEs for abbreviation) driven by cylindrical Wiener processes, and FSPDEs driven by cylindrical \(\alpha \)-stable processes. Sections 1.1–1.4 and 1.6 and 1.7 of this chapter are mainly based on the results from [12].
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