{
  "id": "2109.13379",
  "version": "v1",
  "published": "2021-09-27T22:48:45.000Z",
  "updated": "2021-09-27T22:48:45.000Z",
  "title": "Canonical forms for boundary conditions of self-adjoint differential operators",
  "authors": [
    "Yorick Hardy",
    "Bertin Zinsou"
  ],
  "journal": "Journal of Applied Analysis & Computation, 14(4), 1854-1868 (2024)",
  "doi": "10.11948/20220073",
  "categories": [
    "math.CA"
  ],
  "abstract": "Canonical forms of boundary conditions are important in the study of the eigenvalues of boundary conditions and their numerical computations. The known canonical forms for self-adjoint differential operators, with eigenvalue parameter dependent boundary conditions, are limited to 4-th order differential operators. We derive canonical forms for self-adjoint 2n-th order differential operators with eigenvalue parameter dependent boundary conditions. We compare the 4-th order canonical forms to the canonical forms derived in this article.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-09-27T22:48:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34B08"
    ],
    "keywords": [
      "canonical forms",
      "self-adjoint differential operators",
      "eigenvalue parameter dependent boundary conditions",
      "self-adjoint 2n-th order differential operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}