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Linear equations containing generalized stochastic integrals

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Literature cited

  1. A. V. Skorokhod, “On a generalization of stochastic integrals,” Teor. Veroyatn. Primen.,20, No. 2, 223–237 (1975).

    Google Scholar 

  2. Yu. L. Daletskii and S. N. Paramonova, “Stochastic integral with respect to normally distributed additive set functions,” Dokl. Akad. Nauk SSSR,208, No. 3, 512–515 (1978).

    Google Scholar 

  3. Yu. M. Kabanov and A. V. Skorokhod, “Generalized stochastic integrals,” in: Proc. of Seminar on Theory of Stochastic Processes (Druckininkai, November 25–30, 1974), Part 1, Vilnius (1975), pp. 123–167.

  4. A. Yu. Shevlyakov, “On a class of stochastic integral equations,” Teor. Sluch. Prots., No. 7, 118–127 (1979).

    Google Scholar 

  5. A. A. Dorogobtsev, “Applications of Gaussian random operators to random elements,” Teor. Veroyatn. Primen.,31, No. 4, 812–814 (1986).

    Google Scholar 

  6. A. A. Dorogovtsev, “Smoothness of solutions of generalized linear stochastic differential equations,” in: Asymptotic Problems in Theory of Stochastic Processes [in Russian], Inst. Math. Ukr. Acad. Sci., Kiev (1987), pp. 67–72.

    Google Scholar 

  7. A. A. Dorogovtsev, “Generalized stochastic integrals for smooth functionals of the white noise,” Ukr. Mat. Zh.,41, No. 11 (1989).

  8. Yu. L. Daletskii and S. V. Fomin, Measures and Differential Equations in Infinite Dimensional Spaces [in Russian], Nauka, Moscow (1983).

    Google Scholar 

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Kiev

    A. A. Dorogovtsev

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  1. A. A. Dorogovtsev
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 12, pp.1714–1716, December, 1989.

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Dorogovtsev, A.A. Linear equations containing generalized stochastic integrals. Ukr Math J 41, 1482–1484 (1989). https://doi.org/10.1007/BF01056121

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  • DOI: https://doi.org/10.1007/BF01056121

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