{ "id": "1410.2531", "version": "v1", "published": "2014-10-09T16:59:05.000Z", "updated": "2014-10-09T16:59:05.000Z", "title": "Backward stochastic differential equations with an unbounded generator", "authors": [ "Bujar Gashi", "Jiajie Li" ], "categories": [ "math.PR" ], "abstract": "We consider a class of backward stochastic differential equations with a possibly unbounded generator. Under a Lipschitz-type condition, we give sufficient conditions for the existence of a unique solution pair, which are weaker than the existing ones. We also give a comparison theorem as a generalisation of Peng's result.", "revisions": [ { "version": "v1", "updated": "2014-10-09T16:59:05.000Z" } ], "analyses": { "keywords": [ "backward stochastic differential equations", "unbounded generator", "unique solution pair", "comparison theorem", "lipschitz-type condition" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1410.2531G" } } }