Mathematics – Probability
Scientific paper
2008-09-30
Mathematics
Probability
To appear in Communications on Stochastic Analysis, August 2008
Scientific paper
We consider backward stochastic differential equations (BSDEs) related to
finite state, continuous time Markov chains. We show that appropriate solutions
exist for arbitrary terminal conditions, and are unique up to sets of measure
zero. We do not require the generating functions to be monotonic, instead using
only an appropriate Lipschitz continuity condition.
Cohen Samuel N.
Elliott Robert J.
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