{ "id": "1010.3158", "version": "v2", "published": "2010-10-15T13:31:14.000Z", "updated": "2013-07-24T21:40:58.000Z", "title": "Properties of solutions of stochastic differential equations driven by the G-Brownian motion", "authors": [ "Qian Lin" ], "journal": "Science China Mathematics 56 (2013) 1087--1107", "doi": "10.1007/s11425-012-4534-4", "categories": [ "math.PR" ], "abstract": "In this paper, we study the differentiability of solutions of stochastic differential equations driven by the $G$-Brownian motion with respect to the initial data and the parameter. In addition, the stability of solutions of stochastic differential equations driven by the $G$-Brownian motion is obtained.", "revisions": [ { "version": "v2", "updated": "2013-07-24T21:40:58.000Z" } ], "analyses": { "keywords": [ "stochastic differential equations driven", "g-brownian motion", "properties", "initial data", "differentiability" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }