{
  "id": "1902.08240",
  "version": "v1",
  "published": "2019-02-21T20:08:56.000Z",
  "updated": "2019-02-21T20:08:56.000Z",
  "title": "Iterative oscillation tests for differential equations with several non-monotone arguments",
  "authors": [
    "Elena Braverman",
    "George E. Chatzarakis",
    "Ioannis P. Stavroulakis"
  ],
  "comment": "The paper was originally open access. The purpose of this publication is correct the original mistake that occurred in Theorems 6 and 10 (in particular, the variables under the integral in (2.11) and (2.27)) in the published paper",
  "journal": "Adv. Difference Equ. 2016, Paper No. 87, 18 pp",
  "doi": "10.1186/s13662-016-0817-3",
  "categories": [
    "math.DS"
  ],
  "abstract": "Sufficient oscillation conditions involving $\\limsup $ and $\\liminf $ for first-order differential equations with several non-monotone deviating arguments and nonnegative coefficients are obtained. The results are based on the iterative application of the Gr\\\"{o}nwall inequality. Examples illustrating the significance of the results are also given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-21T20:08:56.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34K11",
      "34K06"
    ],
    "keywords": [
      "iterative oscillation tests",
      "non-monotone arguments",
      "sufficient oscillation conditions",
      "first-order differential equations",
      "non-monotone deviating arguments"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}