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Asymptotic behavior of solutions of the heat-conduction equation with white noise in the right side

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Literature cited

  1. I. I. Gikhman, “Stochastic partial differential equations,” in: Qualitative Methods of Studying Nonlinear Differential Equations and Nonlinear Oscillations [in Russian], Inst. Math. Acad. Sci. Ukr. SSR, Kiev (1981), pp. 25–59.

    Google Scholar 

  2. V. V. Baklan, “On a class of stochastic differential equations in Hilbert space,” in: Theory of Random Processes [in Russian], No. 6, Respublikanskii Mezhved. Sb., Kiev (1978), pp. 10–15.

    Google Scholar 

  3. E. Pardoux, “Equation aux derivees partielles stochastiques non lineaires monotones. Etude de solutions fortes de type Ito,” These Doct. Sci. Math., Univ. Paris Sud. (1975).

  4. N. V. Krylov and B. L. Rozovskii, “On evolutionary stochastic equations,” J. Sov. Math.,16, No. 4 (1981).

  5. S. D. Éidel'man and S. D. Ivasishen, “Study of Green's matrix of homogeneous parabolic boundary-value problem,” Tr. Mosk. Mat. Ob-va,23, 179–234 (1970).

    Google Scholar 

  6. A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics [in Russian], Nauka, Moscow (1966).

    Google Scholar 

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Authors and Affiliations

  1. Kiev State University, USSR

    A. Ya. Dorogovtsev, S. D. Ivasishen & A. G. Kukush

Authors
  1. A. Ya. Dorogovtsev
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  2. S. D. Ivasishen
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  3. A. G. Kukush
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 1, pp. 13–20, January–February, 1985.

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Dorogovtsev, A.Y., Ivasishen, S.D. & Kukush, A.G. Asymptotic behavior of solutions of the heat-conduction equation with white noise in the right side. Ukr Math J 37, 10–15 (1985). https://doi.org/10.1007/BF01056844

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  • DOI: https://doi.org/10.1007/BF01056844

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