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arxiv: 1708.00208 · v1 · pith:ZK56OXA3new · submitted 2017-08-01 · 🧮 math.PR

Linear Volterra backward stochastic differential equations

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keywords backwardexpressedintegrallinearstochasticvolterrabrownianbsvie
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We present an explicit solution triplet $(Y, Z, K)$ to the backward stochastic Volterra integral equation (BSVIE) of linear type, driven by a Brownian motion and a compensated Poisson random measure. The process $Y$ is expressed by an integral whose kernel is explicitly given. The processes $Z$ and $K$ are expressed by Hida-Malliavin derivatives involving $Y$.

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