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Periodic solutions of differential equations perturbed by stochastic processes

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Literature cited

  1. A. Ya. Dorogovtsev, “Differential equations perturbed by periodic stochastic processes,” Ukr. Mat. Zh.,14, No. 2, 119–128 (1962).

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  2. A. Ya. Dorogovtsev, “Existence of periodic solutions of an abstract stochastic equation. Asymptotic periodicity of the Cauchy problem,” Teor. Veroyatn. Mat. Statistika,39, 47–52 (1988).

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  3. M. G. Krein, Lectures on the Theory of Stability of Solutions of Differential Equations in a Banach Space [in Russian], Inst. Mat. AN USSR, Kiev (1964).

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  4. D. Henry, Geometric Theory of Semilinear Parabolic Equations [Russian translation], Mir, Moscow (1985).

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Authors and Affiliations

  1. Kiev University, USSR

    A. Ya. Dorogovtsev

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  1. A. Ya. Dorogovtsev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 12, pp.1642–1648, December, 1989.

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Dorogovtsev, A.Y. Periodic solutions of differential equations perturbed by stochastic processes. Ukr Math J 41, 1412–1419 (1989). https://doi.org/10.1007/BF01056109

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  • DOI: https://doi.org/10.1007/BF01056109

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