{
  "id": "1605.08960",
  "version": "v1",
  "published": "2016-05-29T03:50:08.000Z",
  "updated": "2016-05-29T03:50:08.000Z",
  "title": "The violation of uniqueness theorems for power series solutions by applying the Poincare-Perron theorem",
  "authors": [
    "Yoon Seok Choun"
  ],
  "comment": "12 pages, 3 figures",
  "categories": [
    "math.CA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that uniqueness theorems are not available any more since we apply the Poincare-Perron theorem into linear ordinary differential equations (ODEs). We verify that its theorem is only applicable when its power series solutions are absolutely convergent.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-05-29T03:50:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A12",
      "35A02",
      "41A52"
    ],
    "keywords": [
      "power series solutions",
      "uniqueness theorems",
      "poincare-perron theorem",
      "linear ordinary differential equations",
      "absolutely convergent"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}