{
  "id": "2003.09123",
  "version": "v1",
  "published": "2020-03-20T06:42:28.000Z",
  "updated": "2020-03-20T06:42:28.000Z",
  "title": "A new oscillation criterion for linear matrix Hamiltonian systems",
  "authors": [
    "G. A. Grigorian"
  ],
  "comment": "7 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "The Riccati equation method is used to study the oscillatory behavior of solutions of linear matrix Hamiltonian systems. A unitary transformation approach is used to break the positive definiteness restriction imposed on one of coefficients of the Hamiltonian system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-03-20T06:42:28.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C10"
    ],
    "keywords": [
      "linear matrix hamiltonian systems",
      "oscillation criterion",
      "riccati equation method",
      "unitary transformation approach",
      "oscillatory behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}