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Anticipating backward stochastic Volterra integral equations

Probability 2016-06-01 v3

Abstract

We introduce and study a new type of integral equations called anticipating backward stochastic Volterra integral equations (anticipating BSVIEs). In these equations the generator involves not only the present values but also the future values of the solutions. We obtain the existence and uniqueness theorem and a comparison theorem for the solutions to these anticipating BSVIEs.

Keywords

Cite

@article{arxiv.1503.06427,
  title  = {Anticipating backward stochastic Volterra integral equations},
  author = {Jiaqiang Wen and Yufeng Shi},
  journal= {arXiv preprint arXiv:1503.06427},
  year   = {2016}
}

Comments

12 pages

R2 v1 2026-06-22T08:58:57.794Z