Ukrainian Mathematical Journal

, Volume 60, Issue 12, pp 1968–1981

Heat equation and wave equation with general stochastic measures

  • V. N. Radchenko

We consider the heat equation and wave equation with constant coefficients that contain a term given by an integral with respect to a random measure. Only the condition of sigma-additivity in probability is imposed on the random measure. Solutions of these equations are presented. For each equation, we prove that its solutions coincide under certain additional conditions.


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Copyright information

© Springer Science+Business Media, Inc. 2008

Authors and Affiliations

  • V. N. Radchenko
    • 1
  1. 1.Shevchenko Kyiv National UniversityKyivUkraine

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