{
  "id": "1805.10495",
  "version": "v1",
  "published": "2018-05-26T15:27:05.000Z",
  "updated": "2018-05-26T15:27:05.000Z",
  "title": "Representation of the Green's function for nonlinear differential equations",
  "authors": [
    "Marco Frasca",
    "Asatur Khurshudyan"
  ],
  "comment": "9 pages, 2 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we study some classes of nonlinear second order ordinary differential equations allowing a specific representation for the Green's function. In particular, we show that if the nonlinear term possess a special multiplicative property, then its Green's function is represented as the product of the Heaviside function and the general solution of the Cauchy or boundary-value problem for the corresponding homogeneous equations. Hierarchies of specific equations admitting this representation are considered.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-26T15:27:05.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "greens function",
      "nonlinear differential equations",
      "representation",
      "second order ordinary differential equations",
      "nonlinear second order ordinary differential"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}