Analogue Sochocky formulae for integral operators with additional logarithmic singularity

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

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.).
Published
2018-01-25
Keywords: integral operators, singular integrals
How to Cite
Kashevski, V. V. (2018). Analogue Sochocky formulae for integral operators with additional logarithmic singularity. Journal of the Belarusian State University. Mathematics and Informatics, 3, 4-10. Retrieved from https://journals.bsu.by/index.php/mathematics/article/view/752
Issue
No 3 (2017): Journal of the Belarusian State University. Mathematics and Informatics
Section
Real, Complex and Functional Analysis

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