{
  "id": "1005.2477",
  "version": "v1",
  "published": "2010-05-14T08:35:09.000Z",
  "updated": "2010-05-14T08:35:09.000Z",
  "title": "The Equivalence between Uniqueness and Continuous Dependence of Solution for BDSDEs",
  "authors": [
    "Qingfeng Zhu",
    "Yufeng Shi"
  ],
  "comment": "11 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we prove that, if the coefficient f = f(t; y; z) of backward doubly stochastic differential equations (BDSDEs for short) is assumed to be continuous and linear growth in (y; z); then the uniqueness of solution and continuous dependence with respect to the coefficients f, g and the terminal value are equivalent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-05-14T08:35:09.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "60H05"
    ],
    "keywords": [
      "continuous dependence",
      "uniqueness",
      "equivalence",
      "backward doubly stochastic differential equations",
      "linear growth"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1005.2477Z"
    }
  }
}