Skip to main content
SpringerLink
Log in

On some exact solutions of singular integral equations in the class of generalized functions and their numerical computation

  • Numerical Methods
  • Published:
Differential Equations 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

REFERENCES

  1. Belotserkovskii, S.M. and Lifanov, I.K., Chislennye metody v singulyarnykh integral’nykh uravneniyakh (Numerical Methods in Singular Integral Equations), Moscow, 1985.

  2. Lifanov, I.K., Metod singulyarnykh integral’nykh uravnenii i chislennyi eksperiment (The method of Singular Integral Equations and Numerical Experiment), Moscow, 1995.

  3. Vainikko, G.M., Lifanov, I.K., and Poltavskii, L.N., Chislennye metody v gipersingulyarnykh integral’nykh uravneniyakh i ikh prilozheniya (Numerical Methods in Hypersingular Integral Equations and Their Applications), Moscow, 2001.

  4. Vainikko, G.M. and Lifanov, I.K., Differents. Uravn., 2000, vol. 36, no. 9, pp. 1184–1195.

    Google Scholar 

  5. Vainikko, G.M. and Lifanov, I.K., Mat. Sb., 2003, vol. 194, no. 8, pp. 25–54.

    Google Scholar 

  6. Erdélyi, A., Magnus, W., Oberhettinger, F., and Tricomi, F.G., Higher Transcendental Functions (Bateman Manuscript Project), New York: McGraw-Hill, 1953. Translated under the title Vysshie transtsendentnye funktsii, Moscow, 1973, vol. 1.

    Google Scholar 

  7. Muskhelishvili, N.I., Singulyarnye integral’nye uravneniya (Singular Integral Equations), Moscow, 1968.

  8. Lebedeva, N.V., Trudy XI Mezhdunar. Simp. MDOZMF-2003 (Proc. Int. Symp. MDOZMF-2003), Kharkov; Kherson, 2003, pp. 165–169.

  9. Lebedeva, N.V. and Lifanov, I.K., Proc. Estonian Acad. Sci. Phys. Math., 2004, vol. 53, no. 2, pp. 84–91.

    Google Scholar 

  10. Vainikko, G.M., Lebedeva, N.V., and Lifanov, I.K., Mat. Sb., 2002, vol. 193, no. 10, pp. 3–16.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Air-Force Engineering Academy, Moscow, Russia

    I. K. Lifanov & P. I. Lifanov

  2. Institute for Computer Mathematics, Russian Academy of Sciences, Moscow, Russia

    I. K. Lifanov & P. I. Lifanov

Authors
  1. I. K. Lifanov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. P. I. Lifanov
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Differentsial’nye Uravneniya, Vol. 40, No. 12, 2004, pp. 1687–1697.

Original Russian Text Copyright © 2004 by I. Lifanov, P. Lifanov.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lifanov, I.K., Lifanov, P.I. On some exact solutions of singular integral equations in the class of generalized functions and their numerical computation. Diff Equat 40, 1770–1780 (2004). https://doi.org/10.1007/s10625-005-0109-2

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10625-005-0109-2

Keywords

Search

Navigation