{
  "id": "0904.2308",
  "version": "v1",
  "published": "2009-04-15T12:59:30.000Z",
  "updated": "2009-04-15T12:59:30.000Z",
  "title": "Non-linear partial differential equations with discrete state-dependent delays in a metric space",
  "authors": [
    "Alexander V. Rezounenko"
  ],
  "categories": [
    "math.AP",
    "math.DS"
  ],
  "abstract": "We investigate a class of non-linear partial differential equations with discrete state-dependent delays. The existence and uniqueness of strong solutions for initial functions from a Banach space are proved. To get the well-posed initial value problem we restrict our study to a smaller metric space, construct the dynamical system and prove the existence of a compact global attractor.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-04-15T12:59:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35R10",
      "35B41",
      "35K57"
    ],
    "keywords": [
      "non-linear partial differential equations",
      "discrete state-dependent delays",
      "smaller metric space",
      "compact global attractor",
      "well-posed initial value problem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0904.2308R"
    }
  }
}