Abstract
For a differential oscillation equation with coefficients perturbed by Gaussian delta-correlated random processes with a random external force, we obtain closed moment equations. In a special case, the mathematical expectation and the covariance function are found.
References
I. I. Gikhman and A. V. Skorokhod,Stochastic Differential Equations and Their Applications [in Russian], Naukova Dumka, Kiev (1982).
V. I. Klyatskin,Stochastic Waves in Random Inhomogeneous Media [in Russian], Nauka, Moscow (1980).
M. D. Donsker, “On integrals in functional spaces,”Matematika,11, No. 3, 128–154 (1967).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 1, pp. 132–135, January, 1993.
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Kovtun, I.I. Fluctuations of forced vibrations in a medium with resistance. Ukr Math J 45, 146–150 (1993). https://doi.org/10.1007/BF01062048
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DOI: https://doi.org/10.1007/BF01062048