{
  "id": "2001.11995",
  "version": "v1",
  "published": "2020-01-31T18:36:44.000Z",
  "updated": "2020-01-31T18:36:44.000Z",
  "title": "Persistence and periodic solutions in systems of delay differential equations",
  "authors": [
    "Pablo Amster",
    "Melanie Bondorevsky"
  ],
  "comment": "15 pages, 0 figures",
  "categories": [
    "math.CA",
    "math.DS"
  ],
  "abstract": "We study semi-dynamical systems associated to delay differential equations. We give a simple criteria to obtain weak and strong persistence and provide sufficient conditions to guarantee uniform persistence. Moreover, we show the existence of non-trivial $T$-periodic solutions via topological degree techniques. Finally, we prove that, in some sense, the conditions are also necessary.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-01-31T18:36:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "delay differential equations",
      "periodic solutions",
      "guarantee uniform persistence",
      "strong persistence",
      "sufficient conditions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}