Skip to main content
SpringerLink
Log in

Convolution-type integral equations in the class of generalized functions

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Literature Cited

  1. B. Noble, The Wiener-Hopf Method [Russian translation], IL, Moscow (1962).

    Google Scholar 

  2. Yu. I. Cherskii, Problems of mathematical physics reducing to the Riemann problem, Tr. Tbilissk. matem. in-ta,28, 209–246 (1962).

    Google Scholar 

  3. I. M. Rappoport, A class of singular integral equations, DAN SSSR,59, 8, 1403–1406 (1948).

    Google Scholar 

  4. F. D. Gakhov and Yu. I. Cherskii, Singular integral equations of the convolution type, Izv. Ak. Nauk SSSR, seriya matem.,20, 1, 33–52 (1956).

    Google Scholar 

  5. M. G. Krein, Integral equations on a half-line with kernels depending on the difference between the arguments, Uspekhi matem. nauk,13, 5, 3–120 (1958).

    Google Scholar 

  6. G. A. Dzhanashiya, Convolution type equation for a semiaxis with bounded right-hand sides. Soobshch. Ak. Nauk GruzSSR,36, 1, 11–18 (1964).

    Google Scholar 

  7. V. V. Ivanov, The Wiener-Hopf equation of the first kind, DAN SSSR,151, 3, 489–492 (1963).

    Google Scholar 

  8. O. S. Parasyuk, Dual integral equations in the class of generalized functions, DAN SSSR,110, 6, 957–958 (1956).

    Google Scholar 

  9. Yu. I. Cherskii, Integral Equations of the Convolution Type with Applications [in Russian], Doctoral Dissertation, Tbilisi (1964).

  10. V. B. Dybin, An exceptional case of integral equations of convolution type in a space of generalized functions, DAN SSSR,161, 4, 753–756 (1965).

    Google Scholar 

  11. F. D. Berkovich, An integral equation on a semiaxis in a class of functions increasing toward infinity, DAN SSSR,160, 2, 255–258 (1965).

    Google Scholar 

  12. I. M. Gel'fand and G. E. Shilov, Generalized Functions [in Russian], Fizmatgiz, Moscow (1956), Vol. 2.

    Google Scholar 

  13. R. D. Bantsuri and G. A. Dzhanashiya, Convolution type equations on a semiaxis, DAN SSSR,155, 2, 251–253 (1964).

    Google Scholar 

  14. F. D. Gakhov, Boundary-Value Problems [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  15. Yu. I. Cherskii, A contribution to the solution of the Riemann boundary-value problem in classes of generalized functions, DAN SSSR,125, 3, 500–503 (1959).

    Google Scholar 

  16. V. L. Goncharov, Interpolation Theory and the Approximation of Functions [in Russian], Fizmatgiz, Moscow (1954).

    Google Scholar 

  17. V. S. Rogozhin, A general scheme for the solution of boundary-value problems in a space of generalized functions, DAN SSSR,164, 2, 277–280 (1965).

    Google Scholar 

  18. F. D. Gakhov and V. I. Smagina, A special case of integral equations of the convolution type and equations of the first kind, Izv. Ak Nauk SSSR, seriya matem.,26, 3, 361–390 (1962).

    Google Scholar 

Download references

Authors
  1. V. B. Dybin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. N. K. Karapetyants
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Sibirskii Matematicheskii Zhurnal, Vol. 7, No. 3, pp. 531–545, May–June, 1966.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dybin, V.B., Karapetyants, N.K. Convolution-type integral equations in the class of generalized functions. Sib Math J 7, 429–440 (1966). https://doi.org/10.1007/BF00966241

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00966241

Keywords

Search

Navigation