{
  "id": "1906.11629",
  "version": "v1",
  "published": "2019-06-27T13:34:05.000Z",
  "updated": "2019-06-27T13:34:05.000Z",
  "title": "On The Dynamics Of Solutions Of A Rational Difference Equation Via Generalized Tribonacci Numbers",
  "authors": [
    "İnci Okumuş",
    "Yüksel Soykan"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this study, we investigate the form of solutions, stability character and asymptotic behavior of the following rational difference equation x_{n+1}=({\\gamma}/(x_{n}(x_{n-1}+{\\alpha})+\\b{eta})), n=0,1,..., where the inital values x_{-1} and x_{0} and {\\alpha}, \\b{eta} and {\\gamma} with {\\gamma} are nonnegative real numbers. Its solutions are associated with generalized Tribonacci numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-06-27T13:34:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A10",
      "39A30"
    ],
    "keywords": [
      "rational difference equation",
      "generalized tribonacci numbers",
      "nonnegative real numbers",
      "inital values",
      "stability character"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}