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Investigation of the Cauchy problem for stochastic partial differential equations

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Abstract

It is shown that the solutions of stochastic linear parabolic equations with Poisson perturbations are stabilized in the mean square. The problem of determining the reserve of stability for a rod under random perturbations is studied.

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Authors and Affiliations

  1. Chernovtsy Branch of the Kiev Institute of Automation, Chernovtsy

    G. M. Perun

  2. Chernovtsy University, Chernovtsy

    V. K. Yasinskii

Authors
  1. G. M. Perun
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  2. V. K. Yasinskii
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 9, pp. 1259–1265, September, 1993.

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Perun, G.M., Yasinskii, V.K. Investigation of the Cauchy problem for stochastic partial differential equations. Ukr Math J 45, 1413–1420 (1993). https://doi.org/10.1007/BF01058639

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  • DOI: https://doi.org/10.1007/BF01058639

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