{ "id": "1309.6518", "version": "v1", "published": "2013-09-25T14:26:46.000Z", "updated": "2013-09-25T14:26:46.000Z", "title": "Higher-order variational problems of Herglotz type", "authors": [ "Simao P. S. Santos", "Natalia Martins", "Delfim F. M. Torres" ], "comment": "This is a preprint of a paper whose final and definite form will appear in Vietnam Journal of Mathematics, ISSN: 2305-221X (Print) 2305-2228 (Online). Paper submitted 13-June-2013; revised 11-Sept-2013; accepted for publication 24-Sept-2013", "doi": "10.1007/s10013-013-0048-9", "categories": [ "math.OC" ], "abstract": "We obtain a generalized Euler-Lagrange differential equation and transversality optimality conditions for Herglotz-type higher-order variational problems. Illustrative examples of the new results are given.", "revisions": [ { "version": "v1", "updated": "2013-09-25T14:26:46.000Z" } ], "analyses": { "subjects": [ "34H05", "49K15" ], "keywords": [ "herglotz type", "herglotz-type higher-order variational problems", "generalized euler-lagrange differential equation", "transversality optimality conditions" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1309.6518S" } } }