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Riemann Problem and Singular Integral Equations with Coefficients Generated by Piecewise Constant Functions

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Date
2008
Author
Karelin n, Oleksandr
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Abstract
We study a Riemann boundary value problem with a shift into the interior of the domain. The problem has piecewise constant coefficients that take two values. We find conditions for the existence and uniqueness of a solution of the inhomogeneous problem and formulas for the number of linearly independent solutions of the homogeneous problem. We consider scalar singular integral operators with a shift and matrix characteristic operators whose coefficients are generated by piecewise constant functions and which have automorphic properties. For these operators, we find invertibility conditions.
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https://repository.uaeh.edu.mx/bitstream/handle/123456789/7973
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