Email this article Closed-form solutions for some classes of singular integral equations with Cauchy kernel and infinite integration domain
- Authors: Sheshko M.A.1, Sheshko S.M.2
-
Affiliations:
- John Paul II Catholic University of Lublin
- Belarusian State University
- Issue: Vol 53, No 9 (2017)
- Pages: 1207-1221
- Section: Integral Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154574
- DOI: https://doi.org/10.1134/S0012266117090105
- ID: 154574
Cite item
Open Access
Access granted
Subscription Access
Abstract
We obtain closed-form solutions of singular integral equations with Cauchy kernels in the case of an infinite integration domain. Further, we find natural conditions for the uniqueness of solutions of these equations for the case in which the solution contains arbitrary functions or arbitrary constants.
About the authors
M. A. Sheshko
John Paul II Catholic University of Lublin
Author for correspondence.
Email: sheshkoma@gmail.com
Poland, Lublin, 20-950
S. M. Sheshko
Belarusian State University
Email: sheshkoma@gmail.com
Belarus, Minsk, 220030
Supplementary files
