{
  "id": "math/0604286",
  "version": "v1",
  "published": "2006-04-12T16:07:01.000Z",
  "updated": "2006-04-12T16:07:01.000Z",
  "title": "Existence and continuation of periodic solutions of Newtonian systems",
  "authors": [
    "J. Fura",
    "A. Ratajczak",
    "S. Rybicki"
  ],
  "comment": "31 pages",
  "journal": "Journal of Differential Equations 218(1) (2005), 216-252",
  "categories": [
    "math.CA"
  ],
  "abstract": "In this article we study the existence and the continuation of periodic solutions of autonomous Newtonian systems. To prove the results we apply the infinite-dimensional version of the degree for SO(2)-equivariant gradient operators. Using the results due to Rabier we show that the Leray-Schauder degree is not applicable in the proofs of our theorems, because it vanishes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2006-04-12T16:07:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34C25",
      "47H11"
    ],
    "keywords": [
      "periodic solutions",
      "continuation",
      "leray-schauder degree",
      "infinite-dimensional version",
      "gradient operators"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 31,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......4286F"
    }
  }
}