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On the solvability of a singular integral equation with a non-Carleman shift

On the solvability of a singular integral equation with a non-Carleman shift 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

On the solvability of a singular integral equation with a non-Carleman shift

Polosin, A.
Differential Equations , Volume 52 (9) – Oct 19, 2016
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References (10)

Publisher
Springer Journals
Copyright
Copyright © 2016 by Pleiades Publishing, Ltd.
Subject
Mathematics; Ordinary Differential Equations; Partial Differential Equations; Difference and Functional Equations
ISSN
0012-2661
eISSN
1608-3083
DOI
10.1134/S0012266116090081
Publisher site
See Article on Publisher Site

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.

Journal

Differential Equations – Springer Journals

Published: Oct 19, 2016

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