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arXiv · 1210.1490

Finite and infinite time horizon for BSDE with Poisson jumps

Ahmadou Bamba Sow
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Abstract

This paper is devoted to solving a real valued backward stochastic differential equation with jumps where the time horizon may be finite or infinite. Under linear growth generator, we prove existence of a minimal solution. Using a comparison theorem we show existence and uniqueness of solution to such equations when the generator is uniformly continuous and satisfies a weakly monotonic condition.

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Ahmadou Bamba Sow. 2012-10-04. Finite and infinite time horizon for BSDE with Poisson jumps. https://arxiv.org/abs/1210.1490

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