{
  "id": "1603.04034",
  "version": "v1",
  "published": "2016-03-13T14:41:19.000Z",
  "updated": "2016-03-13T14:41:19.000Z",
  "title": "Higher-order variational problems of Herglotz type with time delay",
  "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 be published in the International Journal 'Pure and Applied Functional Analysis', ISSN 2189-3756 (print), ISSN 2189-3764 (online). Submitted 01-Dec-2015; revised 12-Mar-2016; accepted for publication 13-Mar-2016",
  "categories": [
    "math.OC"
  ],
  "abstract": "We study, using an optimal control point of view, higher-order variational problems of Herglotz type with time delay. Main results are a higher-order Euler-Lagrange and DuBois-Reymond necessary optimality conditions as well as a higher-order Noether type theorem for delayed variational problems of Herglotz type.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-03-13T14:41:19.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K15",
      "49S05",
      "49K05",
      "34H05"
    ],
    "keywords": [
      "higher-order variational problems",
      "herglotz type",
      "time delay",
      "dubois-reymond necessary optimality conditions",
      "higher-order noether type theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2016arXiv160304034S"
    }
  }
}