{
  "id": "1905.09487",
  "version": "v1",
  "published": "2019-05-23T06:05:23.000Z",
  "updated": "2019-05-23T06:05:23.000Z",
  "title": "Oscillation of solutions of LDE's in domains conformally equivalent to unit disc",
  "authors": [
    "Igor Chyzhykov",
    "Janne Gröhn",
    "Janne Heittokangas",
    "Jouni Rättyä"
  ],
  "comment": "14 pages",
  "categories": [
    "math.CA",
    "math.CV"
  ],
  "abstract": "Oscillation of solutions of $f^{(k)} + a_{k-2} f^{(k-2)} + \\dotsb + a_1 f' +a_0 f = 0$ is studied in domains conformally equivalent to the unit disc. The results are applied, for example, to Stolz angles, horodiscs, sectors and strips. The method relies on a new conformal transformation of higher order linear differential equations. Information on the existence of zero-free solution bases is also obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-05-23T06:05:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34M10",
      "30D35"
    ],
    "keywords": [
      "domains conformally equivalent",
      "unit disc",
      "higher order linear differential equations",
      "oscillation",
      "zero-free solution bases"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}