{
  "id": "0805.0278",
  "version": "v2",
  "published": "2008-05-02T18:13:57.000Z",
  "updated": "2008-07-17T11:07:15.000Z",
  "title": "Isoperimetric Problems of the Calculus of Variations on Time Scales",
  "authors": [
    "Rui A. C. Ferreira",
    "Delfim F. M. Torres"
  ],
  "comment": "Changes suggested by the referee. This is the preprint version accepted (July 16, 2008) for publication in the Proceedings of the Conference on Nonlinear Analysis and Optimization, June 18-24, 2008, Technion, Haifa, Israel, and to appear in \"Contemporary Mathematics\"",
  "journal": "in Nonlinear Analysis and Optimization II, Contemporary Mathematics, vol. 514, Amer. Math. Soc., Providence, RI, 2010, 123--131",
  "doi": "10.1090/conm/514",
  "categories": [
    "math.OC",
    "math.CA"
  ],
  "abstract": "We prove a necessary optimality condition for isoperimetric problems on time scales in the space of delta-differentiable functions with rd-continuous derivatives. The results are then applied to Sturm-Liouville eigenvalue problems on time scales.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-07-17T11:07:15.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "49K05",
      "39A12"
    ],
    "keywords": [
      "time scales",
      "isoperimetric problems",
      "variations",
      "sturm-liouville eigenvalue problems",
      "necessary optimality condition"
    ],
    "tags": [
      "conference paper",
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0805.0278F"
    }
  }
}