  We consider a backward stochastic differential equation with a generator that
can be subjected to delay, in the sense that its current value depends on the
weighted past values of the solutions, for instance a distorted recent average.
Existence and uniqueness results are provided in the case of possibly infinite
time horizon for equations with, and without reflection. Furthermore, we show
that when the delay vanishes, the solutions of the delayed equations converge
to the solution of the equation without delay. We argue that these equations
are naturally linked to forward backward systems, and we exemplify a situation
where this observation allows to derive results for quadratic delayed equations
with non-bounded terminal conditions in multi-dimension.
