{
  "id": "2103.16114",
  "version": "v1",
  "published": "2021-03-30T07:01:04.000Z",
  "updated": "2021-03-30T07:01:04.000Z",
  "title": "Variational approach to the existence of solutions for non-instantaneous impulsive differential equations with perturbation",
  "authors": [
    "Wangjin Yao",
    "Liping Dong",
    "Jing Zeng"
  ],
  "comment": "13 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "In this paper, we study the existence of solutions for second-order non-instantaneous impulsive differential equations with a perturbation term. By variational approach, we obtain the problem has at least one solution under assumptions that the nonlinearities are super-quadratic at infinity, and sub-quadratic at the origin.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-30T07:01:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "variational approach",
      "second-order non-instantaneous impulsive differential equations",
      "perturbation term",
      "assumptions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}