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Boundary value problem for a generalized Cauchy–Riemann equation with singular coefficients

Boundary value problem for a generalized Cauchy–Riemann equation with singular coefficients For a generalized Cauchy–Riemann system whose coefficients admit higher-order singularities on a segment, we obtain an integral representation of the general solution and study a boundary value problem combining the properties of the linear conjugation problem and the Riemann–Hilbert problem in function theory. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Differential Equations Springer Journals

Boundary value problem for a generalized Cauchy–Riemann equation with singular coefficients

Rasulov, A.; Soldatov, A.
Differential Equations , Volume 52 (5) – Jun 16, 2016
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References (14)

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/S0012266116050086
Publisher site
See Article on Publisher Site

Abstract

For a generalized Cauchy–Riemann system whose coefficients admit higher-order singularities on a segment, we obtain an integral representation of the general solution and study a boundary value problem combining the properties of the linear conjugation problem and the Riemann–Hilbert problem in function theory.

Journal

Differential Equations – Springer Journals

Published: Jun 16, 2016

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