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Mean-square stability of solutions of a system of linear differential equations with gaussian coefficients

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Literature cited

  1. R. V. Bobrik, “On the noncumulant closure of the moment equations for the solution of a system of linear differential equations with randomly perturbed coefficients,” Ukr. Mat. Zh.,37, No. 5, 551–558 (1985).

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  2. R. Z. Khas'minskii, Stability of Systems of Differential Equations under Random Perturbations of Their Parameters [in Russian], Nauka, Moscow (1969).

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  3. M. G. Shur, “On linear differential equations with randomly perturbed parameters,” Izv. Akad. Nauk SSSR, Ser. Mat.,29, No. 4, 783–808 (1965).

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  4. R. Z. Khas'minskii, “A remark on the paper ‘On linear differential equations with randomly perturbed parameters ’ by M. G. Shur,” ibid.,30, No. 6, 1311–1314 (1966).

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Authors and Affiliations

  1. Institute for Applied Problems of Mechanics and Mathematics, Academy of Sciences of the Ukrainian SSR, Lvov

    R. V. Bobrik

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  1. R. V. Bobrik
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 40, No. 6, pp. 778–780, November–December, 1988.

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Bobrik, R.V. Mean-square stability of solutions of a system of linear differential equations with gaussian coefficients. Ukr Math J 40, 658–659 (1988). https://doi.org/10.1007/BF01057187

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  • DOI: https://doi.org/10.1007/BF01057187

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