{
  "id": "1202.4858",
  "version": "v2",
  "published": "2012-02-22T08:58:53.000Z",
  "updated": "2012-02-26T14:05:47.000Z",
  "title": "Completeness of eigenfunctions of Sturm-Liouville problems with discontinuities at three points",
  "authors": [
    "Erdoğan Şen"
  ],
  "comment": "15 pages",
  "categories": [
    "math.FA",
    "math.CA"
  ],
  "abstract": "In this work, we study discontinuous Sturm-Liouville type problems with eigenparameter dependent boundary condition and transmission conditions at three interior points. A self-adjoint linear operator A is defined in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We show that the eigenvalues of the problem are analytically simple, and the eigenfunctions of A are complete in H.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-02-26T14:05:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34L10",
      "47E05"
    ],
    "keywords": [
      "sturm-liouville problems",
      "eigenfunctions",
      "study discontinuous sturm-liouville type problems",
      "completeness",
      "discontinuities"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1202.4858S"
    }
  }
}