{
  "id": "0904.1385",
  "version": "v1",
  "published": "2009-04-08T17:12:57.000Z",
  "updated": "2009-04-08T17:12:57.000Z",
  "title": "On a local theory of asymptotic integration for nonlinear ordinary differential equations",
  "authors": [
    "Octavian G. Mustafa",
    "Ravi P. Agarwal"
  ],
  "categories": [
    "math.CA",
    "math.DS"
  ],
  "abstract": "By revisiting an asymptotic integration theory of nonlinear ordinary differential equations due to J.K. Hale and N. Onuchic [Contributions Differential Equations 2 (1963), 61--75], we improve and generalize several recent results in the literature. As an application, we study the existence of bounded positive solutions to a large class of semi-linear elliptic partial differential equations via the subsolution-supersolution approach.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-08T17:12:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34E05",
      "34A45"
    ],
    "keywords": [
      "nonlinear ordinary differential equations",
      "asymptotic integration",
      "local theory",
      "semi-linear elliptic partial differential equations",
      "contributions differential equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.1385M"
    }
  }
}