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This paper continues the study of [11, 13] for stationary solutions ofstochastic linear retarded functional differential equations with the emphasison delays which appear in those terms including spatial partial derivatives. Asa consequence, the associated stochastic equations have unbounded operatorsacting on the discrete or distributed delayed terms, while the operator actingon the instantaneous term generates a strongly continuous semigroup. We presentconditions on the delay systems to obtain a unique stationary solution bycombining spectrum analysis of unbounded operators and stochastic calculus. Afew instructive cases are analyzed in detail to clarify the underlyingcomplexity in the study of systems with unbounded delayed operators.

Stationarity of Stochastic Linear Equations with Additive Noise and Delays in the Unbounded Drift Terms