English

Linear Volterra backward stochastic differential equations

Probability 2017-08-02 v1

Abstract

We present an explicit solution triplet (Y,Z,K)(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 YY is expressed by an integral whose kernel is explicitly given. The processes ZZ and KK are expressed by Hida-Malliavin derivatives involving YY.

Keywords

Cite

@article{arxiv.1708.00208,
  title  = {Linear Volterra backward stochastic differential equations},
  author = {Yaozhong Hu and Bernt Øksendal},
  journal= {arXiv preprint arXiv:1708.00208},
  year   = {2017}
}
R2 v1 2026-06-22T21:03:14.678Z