On Solutions of Backward Stochastic Volterra Integral Equations with Jumps in Hilbert Spaces

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作者
Y. Ren
机构
[1] University of Tasmania,School of Mathematics
关键词
Backward stochastic Volterra integral equation; Adapted M-solution; Poisson point process; Duality principle;
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摘要
This paper studies the existence, uniqueness and stability of the adapted solutions to backward stochastic Volterra integral equations (BSVIEs) driven by a cylindrical Brownian motion on a separable Hilbert space and a Poisson random measure with non-Lipschitz coefficient. Moreover, a duality principle between the linear forward stochastic Volterra integral equations (FSVIEs) with jumps and the linear BSVIEs with jumps is established.
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页码:319 / 333
页数:14
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