{
  "id": "1208.3777",
  "version": "v3",
  "published": "2012-08-18T19:05:36.000Z",
  "updated": "2013-04-18T08:13:20.000Z",
  "title": "Asymptotic expressions of eigenvalues and fundamental solutions of a discontinuous fourth-order boundary value problem",
  "authors": [
    "Erdoğan Şen",
    "Serkan Araci",
    "Mehmet Acikgoz"
  ],
  "comment": "11 pages. arXiv admin note: substantial text overlap with arXiv:1208.5395",
  "categories": [
    "math.CA"
  ],
  "abstract": "In the present paper, we deal with a fourth-order boundary value problem problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. 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. Following Mukhtarov and his students methods [2,4,6] we obtain asymptotic formulae for its eigenvalues and fundamental solutions. Our applications possess a number of interesting properties for studying in boundary value problems which we state in this paper.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2013-04-18T08:13:20.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34L20",
      "35R10"
    ],
    "keywords": [
      "discontinuous fourth-order boundary value problem",
      "fundamental solutions",
      "asymptotic expressions",
      "eigenvalues",
      "fourth-order boundary value problem problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1208.3777S"
    }
  }
}