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We study functional stochastic differential equations with a locallyunbounded, functional drift focusing on well-posedness, stability and thestrong Feller property. Following the non-functional case, we only considerintegrability conditions and avoid continuity assumptions as far as possible.Our approach is mainly based on Zvonkin's transformation [18], an extendedversion of the probabilistic approach of Maslowski and Seidler [12] and theconvergence concept for random variables in topological spaces in [2].

On the Strong Feller Property and Well-Posedness for SDEs with Functional, Locally Unbounded Drift