{
  "id": "1902.01195",
  "version": "v1",
  "published": "2019-02-04T14:12:54.000Z",
  "updated": "2019-02-04T14:12:54.000Z",
  "title": "Approximation of solutions of the stochastic wave equation by using the Fourier series",
  "authors": [
    "Vadym Radchenko",
    "Nelia Stefans'ka"
  ],
  "comment": "Published at https://doi.org/10.15559/18-VMSTA115 in the Modern Stochastics: Theory and Applications (https://www.i-journals.org/vtxpp/VMSTA) by VTeX (http://www.vtex.lt/)",
  "journal": "Modern Stochastics: Theory and Applications 2018, Vol. 5, No. 4, 429-444",
  "doi": "10.15559/18-VMSTA115",
  "categories": [
    "math.PR"
  ],
  "abstract": "A one-dimensional stochastic wave equation driven by a general stochastic measure is studied in this paper. The Fourier series expansion of stochastic measures is considered. It is proved that changing the integrator by the corresponding partial sums or by Fej\\`{e}r sums we obtain the approximations of mild solution of the equation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-02-04T14:12:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "approximation",
      "one-dimensional stochastic wave equation driven",
      "fourier series expansion",
      "general stochastic measure",
      "mild solution"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}