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

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 indepen...

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Detalles Bibliográficos
Autor: Karelin n, Oleksandr
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2008
País:México
Institución:Universidad Autónoma del Estado de Hidalgo
Repositorio:Repostorio Institucional UAEH
OAI Identifier:oai:repository.uaeh.edu.mx:123456789/7973
Acceso en línea:http://repository.uaeh.edu.mx/bitstream/handle/123456789/7973
Access Level:acceso abierto
Palabra clave:Automatización y Optimización de Sistemas de Mmanufactura
Descripción
Sumario: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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