{
  "id": "1810.01410",
  "version": "v1",
  "published": "2018-10-01T20:21:15.000Z",
  "updated": "2018-10-01T20:21:15.000Z",
  "title": "Perturbed Lane-Emden equations as a boundary value problem with singular endpoints",
  "authors": [
    "Radosław Antoni Kycia"
  ],
  "comment": "17 pages, 5 figures",
  "categories": [
    "math.AP",
    "math-ph",
    "math.CA",
    "math.DS",
    "math.MP"
  ],
  "abstract": "The paper presents the solution for the existence of analytic solutions for some generalized Lane-Emden (LE) equation. Such solutions exists on the unit interval, which endpoints are singularities of the proposed perturbed LE equation. The solution has many possible applications and one of the examples was provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-10-01T20:21:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "boundary value problem",
      "perturbed lane-emden equations",
      "singular endpoints",
      "analytic solutions",
      "unit interval"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}