Skip to main content
SpringerLink
Log in

The Riemann boundary-value problem and singular integral equations with piecewise constant coefficients

  • Published:
Russian Mathematics 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. G. S. Litvinchuk, Solvability Theory of Boundary Value Problems and Singular Integral Equations with Shift (Kluwer Academic Publishers, Dordrecht, Boston, London, 2000).

    Book  MATH  Google Scholar 

  2. N. K. Karapetiants and S. G. Samko, Equations with Involutive Operators and Their Applications (Rostovsk. Gos. Univ., Rostov-on-Don, 2001) [in Russian].

    Book  MATH  Google Scholar 

  3. I. Ts. Gokhberg and N. Ya. Krupnik, “One-Dimensional Singular Integral Operators with Shift,” Izv. Akad. Nauk Arm. SSR. Mat. 8(1), 3–12 (1973).

    MathSciNet  Google Scholar 

  4. A. A. Karelin, “Transformation of Singular Integral Equation with Carleman’s Linear Shift to Characteristical Equation with Matrix Coefficients,” Izv. Vyssh. Uchebn. Zaved. Mat., No. 2, 60–65 (1991) [Russian Mathematics (Iz. VUZ) 35 (2), 70–74 (1991)].

  5. A. A. Karelin, “On a Relation Between Singular Integral Operators with a Carlemann Linear-Fractional Shift and Matrix Characteristic Operators without Shift,” Boletin Soc. Mat. Mexicana 7(3), 235–246 (2001).

    MathSciNet  MATH  Google Scholar 

  6. N. L. Vasilevskii, A. A. Karelin, P. V. Kerekesha, and G. S. Litvinchuk, “One Class of Singular Integral Equations with Involution and Its Applications in the Theory of Boundary-Value Problems for Partial Differential Equations,” Differents. Uravneniya 13(11), 2051–2062 (1977).

    Google Scholar 

  7. I. M. Spitkovskii and A. M. Tashbaev, “Factorization of Piecewise-Constant Matrix-Functions with Three Discontinuity Points in Classes of L p,ρ and Applications,” Sov. Phys. Dokl. 307(2), 291–296 (1989).

    Google Scholar 

  8. B. V. Khvelidze, “The Method of Cauchy Type Integrals in Discontinuous Boundary Problems in the Theory of Holomorphic Functions of One Complex Variable,” in Sovremennye Problemy Matematiki (VINITI, Moscow, 1975), pp. 5–162.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Hidalgo Autonomous University, Pachuca, 42184, Mexico

    A. A. Karelin, G. P. Lechuga & A. A. Tarasenko

Authors
  1. A. A. Karelin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. G. P. Lechuga
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. A. Tarasenko
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. A. Karelin.

Additional information

Original Russian Text © A.A. Karelin, G.P. Lechuga, A.A. Tarasenko, 2008, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2008, No. 2, pp. 73–76.

About this article

Cite this article

Karelin, A.A., Lechuga, G.P. & Tarasenko, A.A. The Riemann boundary-value problem and singular integral equations with piecewise constant coefficients. Russ Math. 52, 71–74 (2008). https://doi.org/10.3103/S1066369X08020114

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S1066369X08020114

Keywords

Search

Navigation