{
  "id": "1104.0141",
  "version": "v3",
  "published": "2011-04-01T11:03:35.000Z",
  "updated": "2012-12-06T10:25:45.000Z",
  "title": "On a class of differential-algebraic equations with infinite delay",
  "authors": [
    "Luca Bisconti",
    "Marco Spadini"
  ],
  "comment": "13 pages. Revision: Incorporate changes suggested by readers. Corrected a few typos across the paper, definition of BU added, revised the (previously incorrect) definition of solution of RFDAE, made slight changes in the Introduction. Replacement of Dec. 6, 2012: introduced further changes suggested by referee, bundled addendum/erratum containing a corrected version of Lemma 5.5 and Corollary 5.7",
  "journal": "Electronic Journal Qualitative Theory of Differential Equations 2011, No. 8",
  "categories": [
    "math.CA",
    "math.DS"
  ],
  "abstract": "We study the set of $T$-periodic solutions of a class of $T$-periodically perturbed Differential-Algebraic Equations, allowing the perturbation to contain a distributed and possibly infinite delay. Under suitable assumptions, the perturbed equations are equivalent to Retarded Functional (Ordinary) Differential Equations on a manifold. Our study is based on known results about the latter class of equations.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2012-12-06T10:25:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34A09",
      "34K13",
      "34C40"
    ],
    "keywords": [
      "differential equations",
      "possibly infinite delay",
      "periodic solutions",
      "periodically perturbed differential-algebraic equations",
      "perturbed equations"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.0141B"
    }
  }
}