{
  "id": "1701.02091",
  "version": "v1",
  "published": "2017-01-09T08:36:13.000Z",
  "updated": "2017-01-09T08:36:13.000Z",
  "title": "Bounded Solutions to Boundary Value Hyperbolic Problems",
  "authors": [
    "R. Klyuchnyk",
    "I. Kmit"
  ],
  "comment": "12 pages. arXiv admin note: text overlap with arXiv:1610.04058, arXiv:1604.04401",
  "journal": "Nonlinear Oscillations 19 (2016), N 4, 509-520",
  "categories": [
    "math.AP"
  ],
  "abstract": "We investigate linear boundary value problems for first-order one-dimensional hyperbolic systems in a strip. We establish conditions for existence and uniqueness of bounded continuous solutions. For that we suppose that the non-diagonal part of the zero-order coefficients vanish at infinity. Moreover, we establish a dissipativity condition in terms of the boundary data and the diagonal part of the zero-order coefficients.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-09T08:36:13.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35A17",
      "35F45",
      "35L40"
    ],
    "keywords": [
      "boundary value hyperbolic problems",
      "bounded solutions",
      "linear boundary value problems",
      "first-order one-dimensional hyperbolic systems",
      "zero-order coefficients"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}