{
  "id": "0804.0674",
  "version": "v1",
  "published": "2008-04-04T10:05:23.000Z",
  "updated": "2008-04-04T10:05:23.000Z",
  "title": "Differential invariants of 2--order ODEs, I",
  "authors": [
    "Valeriy A. Yumaguzhin"
  ],
  "comment": "31 pages",
  "categories": [
    "math.DG",
    "math.CA"
  ],
  "abstract": "In this paper, we investigate the action of pseudogroup of all point transformations on the natural bundle of equations $y''=a^3(x,y)(y')^3+a^2(x,y)(y')^2+a^1(x,y)y'+a^0(x,y)$. We construct differential invariants of this action and solve the equivalence problem for some classes of these equations in particular for generic equations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-04T10:05:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "53A55",
      "53C10",
      "53C15",
      "34A30",
      "34A26",
      "34C20",
      "58F35"
    ],
    "keywords": [
      "construct differential invariants",
      "generic equations",
      "point transformations",
      "equivalence problem",
      "natural bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0804.0674Y"
    }
  }
}