Literature cited
M. Loeve, Probability Theory [Russian translation], IL, Moscow (1962).
B. P. Demidovich, Lectures in Mathematical Stability Theory [in Russian], Nauka, Moscow (1967).
V. M. Alekseev, Investigation of some Systems of Linear Differential Equations with Random Parameters [in Russian], Abstract of Candidate's Dissertation, Kiev (1970).
Yu. A. Rozanov, Stationary Stochastic Processes [in Russian], Fizmatgiz, Moscow (1963).
I. Z. Shtokalo, Operational Methods and Their Development in the Theory of Linear Differential Equations with Variable Coefficients [in Russian], Izd-vo AN UkrSSR, Kiev (1961).
V. G. Kolomiets and D. G. Korenevskii, “Stability of linear systems with random inputs,” Prikladnaya Mekhanika, Vol. 3, No. 8 (1967).
I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Stochastic Processes [in Russian], Nauka, Moscow (1965).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 25, No. 2, pp. 261–264, March–April, 1973.
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Alekseev, V.M. Applicability of the Laplace transform to the investigation of linear stochastic systems. Ukr Math J 25, 209–211 (1973). https://doi.org/10.1007/BF01096980
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DOI: https://doi.org/10.1007/BF01096980