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Ukrainian Mathematical Journal
, Volume 60, Issue 12, pp 19681981
First online:
Heat equation and wave equation with general stochastic measures
 V. N. RadchenkoAffiliated withShevchenko Kyiv National University
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Get AccessWe 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 sigmaadditivity 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.
 Title
 Heat equation and wave equation with general stochastic measures
 Journal

Ukrainian Mathematical Journal
Volume 60, Issue 12 , pp 19681981
 Cover Date
 200812
 DOI
 10.1007/s1125300901842
 Print ISSN
 00415995
 Online ISSN
 15739376
 Publisher
 Springer US
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 Authors

 V. N. Radchenko ^{(1)}
 Author Affiliations

 1. Shevchenko Kyiv National University, Kyiv, Ukraine