{
  "id": "0803.3660",
  "version": "v1",
  "published": "2008-03-26T02:56:01.000Z",
  "updated": "2008-03-26T02:56:01.000Z",
  "title": "The Equivalence between Uniqueness and Continuous Dependence of Solution for BSDEs with Continuous Coefficient",
  "authors": [
    "Guangyan Jia",
    "Zhiyong Yu"
  ],
  "comment": "6 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this paper, we will prove that, if the coefficient $g=g(t,y,z)$ of a BSDE is assumed to be continuous and linear growth in $(y,z)$, then the uniqueness of solution and continuous dependence with respect to $g$ and the terminal value $\\xi$ are equivalent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-03-26T02:56:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H10",
      "60H30"
    ],
    "keywords": [
      "continuous dependence",
      "continuous coefficient",
      "uniqueness",
      "equivalence"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0803.3660J"
    }
  }
}