Ukrainian Mathematical Journal

, Volume 54, Issue 2, pp 233–238 | Cite as

On One Case of Existence of Homogeneous Solutions

  • A. Ya. Dorogovtsev


We present necessary and sufficient conditions for the existence of a homogeneous solution for a class of partial differential equations with a homogeneous random perturbation in a Banach space.


Differential Equation Banach Space Partial Differential Equation Homogeneous Solution Random Perturbation 
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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • A. Ya. Dorogovtsev
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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