{
  "id": "1402.4209",
  "version": "v1",
  "published": "2014-02-18T02:35:59.000Z",
  "updated": "2014-02-18T02:35:59.000Z",
  "title": "On non-Archimedean recurrence equations and their applications",
  "authors": [
    "Farrukh Mukhamedov",
    "Hasan Akin"
  ],
  "comment": "14 pages",
  "categories": [
    "math.DS",
    "math.FA"
  ],
  "abstract": "In the present paper we study stability of recurrence equations (which in particular case contain a dynamics of rational functions) generated by contractive functions defined on an arbitrary non-Archimedean algebra. Moreover, multirecurrence equations are considered. We also investigate reverse recurrence equations which have application in the study of $p$-adic Gibbs measures. Note that our results also provide the existence of unique solutions of nonlinear functional equations as well.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-02-18T02:35:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "46S10",
      "12J12",
      "39A70",
      "47H10",
      "60K35"
    ],
    "keywords": [
      "non-archimedean recurrence equations",
      "application",
      "adic gibbs measures",
      "reverse recurrence equations",
      "arbitrary non-archimedean algebra"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.4209M"
    }
  }
}