{
  "id": "1507.05911",
  "version": "v1",
  "published": "2015-07-21T16:57:04.000Z",
  "updated": "2015-07-21T16:57:04.000Z",
  "title": "Noether's theorem for 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 to appear in 'Discrete and Continuous Dynamical Systems', Supplement dedicated to the Proceedings of the 10th AIMS Conference on Dynamical Systems, Differential Equations and Applications. Submitted 15-Sept-2014; accepted for publication, subject to a revision as suggested by the referees, 17-Jul-2015; revised 21-Jul-2015. arXiv admin note: text overlap with arXiv:1412.0433",
  "categories": [
    "math.OC"
  ],
  "abstract": "We approach higher-order variational problems of Herglotz type from an optimal control point of view. Using optimal control theory, we derive a generalized Euler-Lagrange equation, transversality conditions, a DuBois-Reymond necessary optimality condition and Noether's theorem for Herglotz's type higher-order variational problems, valid for piecewise smooth functions.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-07-21T16:57:04.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K15",
      "49S05",
      "49K05",
      "34H05"
    ],
    "keywords": [
      "herglotz type",
      "noethers theorem",
      "herglotzs type higher-order variational problems",
      "dubois-reymond necessary optimality condition",
      "approach higher-order variational problems"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150705911S"
    }
  }
}