{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "0FRX8JD7QH"
    }
  ],
  "body": "\n## Summary\n\nThe Grönwall bound is the solution $x \\mapsto \\delta e^{Kx} + \\frac{\\varepsilon}{K}(e^{Kx} - 1)$ of $v' = K v + \\varepsilon$, $v(0) = \\delta$, with the value $\\delta + \\varepsilon x$ when $K = 0$.\nIt is the upper bound in a form of [[Grönwall's inequality|07EJHQYR9A]]. See the [[definition|0FRX8JD7QH]].\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "kind": "concept",
    "msc": [
      "34A40"
    ],
    "name": "Grönwall bound",
    "sources": [
      {
        "locator": "lead section",
        "url": "https://en.wikipedia.org/wiki/Gr%C3%B6nwall%27s_inequality"
      }
    ],
    "tag": "0ZPQHH37PF"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0ZPQHH37PF/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0ZPQHH37PF.md",
  "msc": [
    "34A40"
  ],
  "name": "Grönwall bound",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0ZP/0ZPQHH37PF.md",
  "status": null,
  "tag": "0ZPQHH37PF",
  "uri": "m2://0ZPQHH37PF",
  "url": "https://math2.tamnd.com/wiki/gronwall-bound/",
  "writing": {
    "tag": "0ZPQHH37PF",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
