{
  "id": "1012.2002",
  "version": "v3",
  "published": "2010-12-09T13:46:39.000Z",
  "updated": "2012-01-04T08:44:42.000Z",
  "title": "A new periodicity concept for time scales",
  "authors": [
    "Murat Adıvar"
  ],
  "comment": "11 pages, Accepted for publication in Mathematica Slovaca, Vol 63, 2013",
  "categories": [
    "math.CA"
  ],
  "abstract": "By means of the shift operators we introduce a new periodicity concept on time scales. This new approach will enable researchers to investigate periodicity notion on a large class of time scales whose members may not satisfy the condition: \"there exists a $P>0$ such that $t\\pm P\\in\\mathbb{T}$ for all $t\\in\\mathbb{T}$\", unlike the existing literature. Therefore, the results of this paper open an avenue for the investigation of periodic solutions of $q$-difference equations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-01-04T08:44:42.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34N05",
      "34C25",
      "34K13",
      "35B10"
    ],
    "keywords": [
      "time scales",
      "periodicity concept",
      "difference equations",
      "large class",
      "shift operators"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1012.2002A"
    }
  }
}