Skip to main content
Log in

Topological structure of the family of solutions of the Bogolyubov equation

  • Published:
Theoretical and Mathematical Physics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. N. N. Bogolyubov, Izbr. Trudy, Vol. 2, Naukova Dumka (1970).

  2. N. N. Bogolyubov and B. I. Khatset, Dokl. Akad. Nauk SSSR,66, 321 (1949).

    Google Scholar 

  3. N. N. Bogolyubov, D. Ya. Petrina, and B. I. Khatset, Teor. Mat. Fiz.,1, 251 (1969).

    Google Scholar 

  4. G. I. Nazin, Teor. Mat. Fiz.,21, 388 (1974).

    Google Scholar 

  5. G. I. Nazin, Teor. Mat. Fiz.,25, 132 (1975).

    Google Scholar 

  6. D. Ruelle, Statistical Mechanics, New York (1969). (Russian translation published by Mir, (1971)).

  7. D. Ruelle, Commun. Math. Phys.,18, 127 (1970).

    Google Scholar 

  8. R. L. Dobrushin, Teor. Mat. Fiz.,4, 101 (1970).

    Google Scholar 

  9. A. N. Kolmogorov and S. V. Fomin, Elements of the Theory of Functions and Functional Analysis [in Russian], Nauka (1976).

  10. R. A. Minlos, Usp. Mat. Nauk,1, 133 (1968).

    Google Scholar 

  11. C. E. Hille, Functional Analysis and Semi-Groups, AMS, New York (1948). (Russian translation published by IL, (1951)).

    Google Scholar 

  12. M. Reed and B. Simon, Methods of Modern Mathematical Physics, Vol. 1, Academic Press, New York (1972). (Russian translation published by Mir, (1977)).

    Google Scholar 

  13. H. H. Schaeffer, Topological Vector Spaces, MacMillan, New York (1966). (Russian translation published by Mir, (1971)).

    Google Scholar 

  14. N. V. Glukhikh and G. I. Nazin, Teor. Mat. Fiz.,38, 417 (1979).

    Google Scholar 

  15. V. I. Averbukh and O. G. Smolyanov, Usp. Mat. Nauk,22, 201 (1967).

    Google Scholar 

  16. T. Fröhlich and Y. M. Park, Commun. Math. Phys.,59, 235 (1978).

    Google Scholar 

Download references

Authors

Additional information

State University, Tyumen. Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 42, No. 2, pp. 243–252, February, 1980.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nazin, G.I. Topological structure of the family of solutions of the Bogolyubov equation. Theor Math Phys 42, 159–166 (1980). https://doi.org/10.1007/BF01032119

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01032119

Keywords

Navigation