{
  "id": "math/0409198",
  "version": "v1",
  "published": "2004-09-13T06:25:24.000Z",
  "updated": "2004-09-13T06:25:24.000Z",
  "title": "Oscillation of linear ordinary differential equations: on a theorem by A. Grigoriev",
  "authors": [
    "Sergei Yakovenko"
  ],
  "comment": "16 pages",
  "journal": "J. Dyn. Control Syst. 12 (2006), no. 3, 433--449.",
  "doi": "10.1007/s10450-006-0008-8",
  "categories": [
    "math.CA",
    "math.CV",
    "math.DS"
  ],
  "abstract": "We give a simplified proof and an improvement of a recent theorem by A. Grigoriev, placing an upper bound for the number of roots of linear combinations of solutions to systems of linear equations with polynomial or rational coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-09-13T06:25:24.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C08",
      "34C10",
      "34M10"
    ],
    "keywords": [
      "linear ordinary differential equations",
      "oscillation",
      "upper bound",
      "linear combinations",
      "linear equations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math......9198Y"
    }
  }
}