{
  "id": "2206.14653",
  "version": "v1",
  "published": "2022-06-29T13:50:01.000Z",
  "updated": "2022-06-29T13:50:01.000Z",
  "title": "Asymptotic analysis of Emden-Fowler type equation with an application to power flow models",
  "authors": [
    "M. H. M. Christianen",
    "A. J. E. M. Janssen",
    "M. Vlasiou",
    "B. Zwart"
  ],
  "comment": "33 pages, 3 figures",
  "categories": [
    "math.CA"
  ],
  "abstract": "Emden-Fowler type equations are nonlinear differential equations that appear in many fields such as mathematical physics, astrophysics and chemistry. In this paper, we perform an asymptotic analysis of a specific Emden-Fowler type equation that emerges in a queuing theory context as an approximation of voltages under a well-known power flow model. Thus, we place Emden-Fowler type equations in the context of electrical engineering. We derive properties of the continuous solution of this specific Emden-Fowler type equation and study the asymptotic behavior of its discrete analog. We conclude that the discrete analog has the same asymptotic behavior as the classical continuous Emden-Fowler type equation that we consider.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-06-29T13:50:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "asymptotic analysis",
      "specific emden-fowler type equation",
      "continuous emden-fowler type equation",
      "well-known power flow model",
      "discrete analog"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}