{
  "id": "2212.00310",
  "version": "v1",
  "published": "2022-12-01T07:01:08.000Z",
  "updated": "2022-12-01T07:01:08.000Z",
  "title": "Oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations",
  "authors": [
    "G. A. Grigorian"
  ],
  "comment": "10 pages",
  "categories": [
    "math.CA"
  ],
  "abstract": "The Riccati equation method and an approach of the use of unknown factors is used to establish oscillation, suboscillation and nonoscillation criteria for linear systems of ordinary differential equations. A necessary condition for Lyapunov (asymptotic) stability for these systems is obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-01T07:01:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C10",
      "F.2.2",
      "I.2.7"
    ],
    "keywords": [
      "ordinary differential equations",
      "nonoscillation criteria",
      "linear systems",
      "suboscillation",
      "riccati equation method"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}