{
  "id": "0812.5015",
  "version": "v1",
  "published": "2008-12-30T06:32:16.000Z",
  "updated": "2008-12-30T06:32:16.000Z",
  "title": "Stability of cubic and quartic functional equations in non-Archimedean spaces",
  "authors": [
    "M. Eshaghi Gordji",
    "M. Bavand Savadkouhi"
  ],
  "categories": [
    "math.FA"
  ],
  "abstract": "We prove generalized Hyres-Ulam-Rassias stability of the cubic functional equation $f(kx+y)+f(kx-y)=k[f(x+y)+f(x-y)]+2(k^3-k)f(x)$ for all $k\\in \\Bbb N$ and the quartic functional equation $f(kx+y)+f(kx-y)=k^2[f(x+y)+f(x-y)]+2k^2(k^2-1)f(x)-2(k^2-1)f(y)$ for all $k\\in \\Bbb N$ in non-Archimedean normed spaces.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-12-30T06:32:16.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39B82"
    ],
    "keywords": [
      "quartic functional equation",
      "non-archimedean spaces",
      "cubic functional equation",
      "generalized hyres-ulam-rassias stability"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.5015E"
    }
  }
}