On the solvability of a singular integral equation with a non-Carleman shift
- Authors: Polosin A.A.1
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Affiliations:
- Lomonosov Moscow State University
- Issue: Vol 52, No 9 (2016)
- Pages: 1170-1177
- Section: Integral Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154048
- DOI: https://doi.org/10.1134/S0012266116090081
- ID: 154048
Cite item
Abstract
We consider a singular integral equation with a non-Carleman shift on an interval. We prove the unique solvability of this equation in weighted Hölder classes under certain restrictions on the coefficients. We show that the solution of the equation can be written in quadratures.
About the authors
A. A. Polosin
Lomonosov Moscow State University
Author for correspondence.
Email: alexei-polosin@mail.ru
Russian Federation, Moscow
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