{ "id": "0910.2195", "version": "v2", "published": "2009-10-12T16:18:52.000Z", "updated": "2010-08-01T11:32:55.000Z", "title": "On convexity of solutions of ordinary differential equations", "authors": [ "Martin Keller-Ressel", "Eberhard Mayerhofer", "Alexander G. Smirnov" ], "comment": "10 pages", "journal": "J. Math. Anal. Appl. 368 (2010) 247-253", "categories": [ "math.CA" ], "abstract": "We prove a result on the convex dependence of solutions of ordinary differential equations on an ordered finite-dimensional real vector space with respect to the initial data.", "revisions": [ { "version": "v2", "updated": "2010-08-01T11:32:55.000Z" } ], "analyses": { "subjects": [ "65L05", "26B25", "06F20" ], "keywords": [ "ordinary differential equations", "ordered finite-dimensional real vector space", "convex dependence", "initial data" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 10, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2009arXiv0910.2195K" } } }