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Existence theorem for solutions of the Bogolyubov equations

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Literature Cited

  1. N. N. Bogolyubov, Zh. Éksp. Teor. Fiz.,16, 681, 691 (1946).

    Google Scholar 

  2. N. N. Bogolyubov, “Problems of a dynamical theory in statistical physics,” in: Studies in Statistical Mechanics Vol. 1 (J. de Boer and G. E. Uhlenbeck, editors), North-Holland, Amsterdam (1962).

    Google Scholar 

  3. G. E. Uhlenbeck and G. W. Ford, Lectures in Statistical Physics, AMS, Providence, R. I. (1963).

    Google Scholar 

  4. G. E. Uhlenbeck, in the book by M. Kac, Probability and Related Topics in Physical Sciences, London (1959).

  5. O. E. Lanford, Commun. Math. Phys.,9, 126 (1968);11, 257 (1969).

    Google Scholar 

  6. Ya. G. Sinai, Teor. Mat. Fiz.,11, 248 (1972).

    Google Scholar 

  7. A. N. Zemlyakov, Usp. Mat. Nauk.,28, 247 (1973).

    Google Scholar 

  8. Ya. G. Sinai, Vestn. MGU, Ser. Matem. i Mekh., No. 1, 152 (1974).

    Google Scholar 

  9. B. M. Gurevich, Ya. G. Sinai, and Yu. M. Subkhov, Usp. Mat. Nauk.,28, No. 5, 45 (1973).

    Google Scholar 

  10. G. Gallavotti, O. E. Lanford, and J. L. Lebowitz, J. Math. Phys.,11, 2898 (1970).

    Google Scholar 

  11. D. Ya. Petrina, Teor. Mat. Fiz.,13, 391 (1972).

    Google Scholar 

  12. D. Ya. Petrina and O. K. Vidybida, Preprint ITF 73-58E (1973).

  13. R. L. Dobrushin, Funktsional'nyi Analiz i Ego Prilozheniya,3, 71 (1969).

    Google Scholar 

  14. Yu. M. Sukhov, Tr. Mosk. Matem. O-Va,24, 175 (1971).

    Google Scholar 

  15. A. Khaitov, Tr. Mosk. Matem. O-Va,28 (1973).

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Authors
  1. Ya. G. Sinai
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  2. Yu. M. Sukhov
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Additional information

L. D. Landau Institute of Theoretical Physics, Academy of Sciences of the USSR. Institute of Information Transmission Problems, Academy of Sciences of the USSR. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 19, No. 3, pp. 344–363, June, 1974.

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Sinai, Y.G., Sukhov, Y.M. Existence theorem for solutions of the Bogolyubov equations. Theor Math Phys 19, 560–573 (1974). https://doi.org/10.1007/BF01035569

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  • DOI: https://doi.org/10.1007/BF01035569

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