{
  "id": "1003.3627",
  "version": "v1",
  "published": "2010-03-18T16:43:47.000Z",
  "updated": "2010-03-18T16:43:47.000Z",
  "title": "Non-local PDEs with a state-dependent delay term presented by Stieltjes integral",
  "authors": [
    "Alexander Rezounenko"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "Parabolic partial differential equations with state-dependent delays (SDDs) are investigated. The delay term presented by Stieltjes integral simultaneously includes discrete and distributed SDDs. The singular Lebesgue-Stieltjes measure is also admissible. The conditions for the corresponding initial value problem to be well-posed are presented. The existence of a compact global attractor is proved.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-03-18T16:43:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R10",
      "35B41",
      "35K57"
    ],
    "keywords": [
      "state-dependent delay term",
      "stieltjes integral",
      "non-local pdes",
      "parabolic partial differential equations",
      "compact global attractor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1003.3627R"
    }
  }
}