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This paper is devoted to solving a real valued backward stochasticdifferential equation with jumps where the time horizon may be finite orinfinite. Under linear growth generator, we prove existence of a minimalsolution. Using a comparison theorem we show existence and uniqueness ofsolution to such equations when the generator is uniformly continuous andsatisfies a weakly monotonic condition.

Finite and infinite time horizon for BSDE with Poisson jumps