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Symmetrical martingale solutions of backward doubly stochastic Volterra integral equations

Probability 2019-09-11 v1

Abstract

This paper aims to study a new class of integral equations called backward doubly stochastic Volterra integral equations (BDSVIEs, for short). The notion of symmetrical martingale solutions (SM-solutions, for short) is introduced for BDSVIEs. And the existence and uniqueness theorem for BDSVIEs in the sense of SM-solutions is established.

Keywords

Cite

@article{arxiv.1909.04292,
  title  = {Symmetrical martingale solutions of backward doubly stochastic Volterra integral equations},
  author = {Jiaqiang Wen and Yufeng Shi},
  journal= {arXiv preprint arXiv:1909.04292},
  year   = {2019}
}

Comments

Accept by Computers and Mathematics with Applications