Analogue Sochocky formulae for integral operators with additional logarithmic singularity

Authors

  • Vitold V. Kashevski Belarusian State University, Niezaliežnasci Avenue, 4, 220030, Minsk, Belarus

Keywords:

integral operators, singular integrals

Abstract

In this paper we prove the limit formulas for singular integrals of the form. Limit values of such integrals are expressed in terms of singular integral operators and also integral operators. As an application of these formulas derived additive representation for singular integrals. The formulas are derived in the article can be used for research and operators singular integral equations solutions.

Author Biography

  • Vitold V. Kashevski, Belarusian State University, Niezaliežnasci Avenue, 4, 220030, Minsk, Belarus

    PhD (physics and mathematics), docent; associate professor at the department of higher mathematics and mathematical physics, faculty of physics

References

  1. Gakhov F. D. [Boundary value problems]. Moscow : Nauka, 1977 (in Russ.).
  2. Muskhelishvili N. I. [Singular integral equations]. Moscow : Nauka, 1968 (in Russ.).

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Published

2018-01-25

Issue

No. 3 (2017): Journal of the Belarusian State University. Mathematics and Informatics

Section

Real, Complex and Functional Analysis

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How to Cite

[1]
Kashevski, V.V. 2018. Analogue Sochocky formulae for integral operators with additional logarithmic singularity. Journal of the Belarusian State University. Mathematics and Informatics. 3 (Jan. 2018), 4–10.