Skorohod equation and BSDE's with two reflecting barriers

Mathematics – Probability

Scientific paper

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Scientific paper

We solve a class of doubly reflected backward stochastic differential
equation whose generator depends on the resistance due to reflections, which
extend the recent work of Qian and Xu on reflected BSDE with one barrier. We
then obtain the existence and uniqueness and the continuous dependence theorem
for this reflected BSDE.

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