{
  "id": "2112.12257",
  "version": "v3",
  "published": "2021-12-22T22:51:12.000Z",
  "updated": "2022-10-19T22:49:16.000Z",
  "title": "Fully coupled drift-less Forward and backward Stochastic Differential Equations in a degenerate case",
  "authors": [
    "Takahiro Tsuchiya"
  ],
  "comment": "modified the proof of theorem 4.1",
  "categories": [
    "math.PR"
  ],
  "abstract": "Existence and uniqueness results of fully coupled forward stochastic differential equations without drifts and backward stochastic differential equations in a degenerate case are obtained for an arbitrarily large time duration.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2022-10-19T22:49:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "backward stochastic differential equations",
      "fully coupled drift-less forward",
      "degenerate case",
      "coupled forward stochastic differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}