{ "id": "1405.0703", "version": "v2", "published": "2014-05-04T14:48:15.000Z", "updated": "2014-09-23T15:12:04.000Z", "title": "Reflected Stochastic Differential Equations Driven By G-Brownian motion With Nonlinear Resistance", "authors": [ "Peng Luo" ], "comment": "arXiv admin note: substantial text overlap with arXiv:1103.0392 by other authors", "categories": [ "math.PR" ], "abstract": "In this paper, we study the uniqueness and existence of solutions of RGSDEs with nonlinear resistance under an integral-Lipschitz condition of coefficients. Moreover we obtain the comparison theorem for RGSDEs with nonlinear resistance.", "revisions": [ { "version": "v1", "updated": "2014-05-04T14:48:15.000Z", "abstract": "In this paper, we study the uniqueness and existence of solutions of RGSDEs with nonlinear resistance under a non-Lipschitz condition of coefficients. Moreover we obtain the comparison theorem for RGSDEs with nonlinear resistance.", "journal": null, "doi": null }, { "version": "v2", "updated": "2014-09-23T15:12:04.000Z" } ], "analyses": { "keywords": [ "reflected stochastic differential equations driven", "nonlinear resistance", "g-brownian motion", "comparison theorem", "non-lipschitz condition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1405.0703L" } } }