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Literature Cited
V. V. Bolotin, “Pressure field inside shell performing random oscillations,” Inzh. Zh. Mekh. Tverd. Tela, No. 1, 74–81 (1968).
M. I. Vishik and L. A. Lyusternik, “Asymptotic behavior of solution of linear differential equations with large or rapidly varying coefficients and boundary conditions,” Usp. Mat. Nauk,15, No. 4 (94), 27–95 (1960).
A. S. Vol'mir and Kh. P. Kul'terbaev, “Investigation of nonlinear oscillations of cylindrical panels under the action of the wind,” Prikl. Mekh.,10, No. 3, 36–42 (1974).
I. I. Gikhman, “Oscillations of rod under random high-frequency perturbation,” Mekh. Tverd. Tela (Resp. Mezhved. Sb.) No. 7, 145–153 (1974).
I. I. Gikhman and A. V. Skorokhod, Introduction to the Theory of Random Processes [in Russian], Nauka, Moscow (1965).
S. Krendl, “Random wide-band oscillations for point perturbations at rods and plates,” Izv. Akad. Nauk SSSR, Mekh. Tverd. Tela, No. 2, 37–47 (1973).
V. A. Pal'mov, “Thin shell under the action of wide-band random load,” Prikl. Mat. Mekh., No. 4, 763–771 (1965).
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Institute of Applied Mathematics and Mechanics, Academy of Sciences of the Ukrainian SSR, Donetsk. Translated from Prikladnaya Mekhanika, Vol. 13, No. 11, pp. 18–24, November, 1977.
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Gikhman, I.I. Asymptotic behavior of the solution of a mixed problem describing random forced oscillations. Soviet Applied Mechanics 13, 1090–1095 (1977). https://doi.org/10.1007/BF00941530
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DOI: https://doi.org/10.1007/BF00941530