Abstract
We prove a theorem on the application of the Bogolyubov–Mitropol'skii averaging principle to stochastic partial differential equations of the hyperbolic type.
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Mitropol'skii, Y.A., Kolomiets', V.H. & Kolomiets', O.V. On the Application of the Averaging Principle in Stochastic Differential Equations of Hyperbolic Type. Ukrainian Mathematical Journal 55, 859–865 (2003). https://doi.org/10.1023/B:UKMA.0000010262.09590.f4
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DOI: https://doi.org/10.1023/B:UKMA.0000010262.09590.f4