  This work concerns generalized backward stochastic differential equations,
which are coupled with a family of reflecting diffusion processes. First of
all, we establish the large deviation principle for forward stochastic
differential equations with reflecting boundaries under weak monotonicity
conditions. Then based on the obtained result and the contraction principle,
the large deviation principle for the generalized backward stochastic
differential equations is proved. As a by-product, we obtain a limit result
about parabolic partial differential equations with the nonlinear Neumann
boundary conditions.
