{
  "id": "2003.07735",
  "version": "v1",
  "published": "2020-03-17T14:12:25.000Z",
  "updated": "2020-03-17T14:12:25.000Z",
  "title": "Periodic solutions of a system of nonlinear difference equations with periodic coefficients",
  "authors": [
    "Durhasan Turgut Tollu"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "In this paper it is dealt with the following system of difference equations x_{n+1}=((a_{n})/(x_{n}))+((b_{n})/(y_{n})), y_{n+1}=((c_{n})/(x_{n}))+((d_{n})/(y_{n})), n in N_0, where the initial values x_0,y_0 are positive real numbers and the coefficients (a_{n})_{n>=0}, (b_{n})_{n>=0}, (c_{n})_{n>=0}, (d_{n})_{n>=0} are two-periodic sequences with positive terms. The system is an extention of a system that every positive solution is two-periodic or converges to its a two-periodic solution. Here, the long-term behavior of posistive solutions of the system is examined by using a new method to solve the system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-17T14:12:25.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A10",
      "39A20",
      "39A23"
    ],
    "keywords": [
      "nonlinear difference equations",
      "periodic coefficients",
      "periodic solutions",
      "positive real numbers",
      "initial values"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}