{ "id": "0910.0950", "version": "v2", "published": "2009-10-06T08:58:23.000Z", "updated": "2010-08-02T21:57:41.000Z", "title": "Strong solutions for stochastic differential equations with jumps", "authors": [ "Zenghu Li", "Leonid Mytnik" ], "comment": "16 pages", "categories": [ "math.PR" ], "abstract": "General stochastic equations with jumps are studied. We provide criteria for the uniqueness and existence of strong solutions under non-Lipschitz conditions of Yamada-Watanabe type. The results are applied to stochastic equations driven by spectrally positive L\\'evy processes.", "revisions": [ { "version": "v2", "updated": "2010-08-02T21:57:41.000Z" } ], "analyses": { "subjects": [ "60H10", "60H20" ], "keywords": [ "stochastic differential equations", "strong solutions", "stochastic equations driven", "general stochastic equations", "non-lipschitz conditions" ], "note": { "typesetting": "TeX", "pages": 16, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0910.0950L" } } }