{
  "id": "1002.3090",
  "version": "v1",
  "published": "2010-02-16T14:36:21.000Z",
  "updated": "2010-02-16T14:36:21.000Z",
  "title": "On the global attractivity and oscillations in a class of second order difference equations from macroeconomics",
  "authors": [
    "Hassan A. El-Morshedy"
  ],
  "comment": "the final version of this paper will be published in Journal of Difference Equations and Applications",
  "categories": [
    "math.DS",
    "math.CA"
  ],
  "abstract": "New global attractivity criteria are obtained for the second order difference equation \\[ x_{n+1}=cx_{n}+f(x_{n}-x_{n-1}),\\quad n=1, 2, ... \\] via a Lyapunov-like method. Some of these results are sharp and support recent related conjectures. Also, a necessary and sufficient condition for the oscillation of this equation is obtained using comparison with a second order linear difference equation with positive coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-02-16T14:36:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "39A10",
      "39A11"
    ],
    "keywords": [
      "second order difference equation",
      "second order linear difference equation",
      "oscillation",
      "macroeconomics",
      "global attractivity criteria"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1002.3090E"
    }
  }
}