Email this article On the exceptional case of the characteristic singular equation with Cauchy kernel
- Authors: Urbanovich T.M.1
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Affiliations:
- Polotsk State University
- Issue: Vol 52, No 12 (2016)
- Pages: 1650-1654
- Section: Short Communications
- URL: https://journal-vniispk.ru/0012-2661/article/view/154210
- DOI: https://doi.org/10.1134/S0012266116120119
- ID: 154210
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Abstract
We study the exceptional case of the characteristic singular integral equation with Cauchy kernel in which its coefficients admit zeros or singularities of complex orders at finitely many points of the contour. By reduction to a linear conjugation problem, we obtain an explicit solution formula and solvability conditions for this equation in weighted Hölder classes.
About the authors
T. M. Urbanovich
Polotsk State University
Author for correspondence.
Email: UrbanovichTM@gmail.com
Belarus, Polotsk
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