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On One Case of Existence of Homogeneous Solutions

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Abstract

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.

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REFERENCES

  1. V. M. Kruglov, Additional Chapters in Probability Theory [in Russian], Vysshaya Shkola, Moscow (1984).

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  2. E. Hille and R. S. Phillips, Functional Analysis and Semigroups [Russian translation], Izd. Inostr. Lit., Moscow (1962).

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  3. A. Ya. Dorogovtsev, Periodic and Stationary Modes of Infinite-dimensional Deterministic and Stochastic Dynamical Systems [in Russian], Vyshcha Shkola, Kiev (1992).

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Dorogovtsev, A.Y. On One Case of Existence of Homogeneous Solutions. Ukrainian Mathematical Journal 54, 233–238 (2002). https://doi.org/10.1023/A:1020134512402

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  • DOI: https://doi.org/10.1023/A:1020134512402

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