Linear Volterra backward stochastic differential equations
classification
🧮 math.PR
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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