{
  "id": "2410.01693",
  "version": "v3",
  "published": "2024-10-02T16:03:59.000Z",
  "updated": "2024-10-29T14:20:12.000Z",
  "title": "On the exactness of the Kiguradze-Kvinikadze blow-up condition for nonlinear ordinary differential equations",
  "authors": [
    "A. A. Kon'kov"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We show the exactness of the Kiguradze--Kvinikadze blow-up condition for solutions of the Cauchy problem $$ w^{(m)} = f (t, w, \\ldots, w^{(m - 1)}), \\qquad w^{(i)} (0) = a_i \\ge 0, \\quad i = 0, \\ldots, m - 1. $$",
  "revisions": [
    {
      "version": "v3",
      "updated": "2024-10-29T14:20:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A12",
      "34A34"
    ],
    "keywords": [
      "nonlinear ordinary differential equations",
      "kiguradze-kvinikadze blow-up condition",
      "cauchy problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}