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Stability of a linear oscillating system parametrically excited by a random process of a given class. (English) Zbl 0359.60082

MSC:

60H10 Stochastic ordinary differential equations (aspects of stochastic analysis)
Full Text: DOI

References:

[1] V. G. Kolomiets, ?Parametric effect of a random force on a nonlinear vibrating system,? Ukr. Mat. Zh.,14, No. 2, 211-214 (1962). · Zbl 0124.08907 · doi:10.1007/BF02526697
[2] W. von Wedig, ?Stabilitätsbedingungen für parametererregte Schwingungssysteme mit breitbändigen Zufallserregungen,? Zeitschr. Angew. Mat. Mech.,52, No. 4 (1972). · Zbl 0311.70028
[3] I. I. Gikhman and A. V. Skorokhod, Stochastic Differential Equations [in Russian], Naukova Dumka, Kiev (1968). · Zbl 0169.48702
[4] S. G. Mikhlin (editor), Linear Equations of Mathematical Physics [in Russian], Nauka, Moscow (1964). · Zbl 0115.30701
[5] K. G. Valeev, ?A method for solving systems of linear differential equations with sinusoidal coefficients,? Izv. Vyssh. Uchebn. Zaved., Radiofizika,3, No. 6, 1113-1126 (1960).
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