Applications of operator equalities to singular integral operators and to Riemann boundary value problems

In the first part of this article (Section 2), we consider a Riemann boundary value problem with shift and piecewise constant coefficients. In the second part (Section 3), we consider a matrix characteristic singular integral operators with piecewise constant coefficients of a special structure. Sim...

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Detalles Bibliográficos
Autor: Karelin n, Oleksandr
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:México
Institución:Universidad Autónoma del Estado de Hidalgo
Repositorio:Repostorio Institucional UAEH
OAI Identifier:oai:repository.uaeh.edu.mx:123456789/7972
Acceso en línea:http://repository.uaeh.edu.mx/bitstream/handle/123456789/7972
Access Level:acceso abierto
Palabra clave:Automatización y Optimización de Sistemas de Mmanufactura
Descripción
Sumario:In the first part of this article (Section 2), we consider a Riemann boundary value problem with shift and piecewise constant coefficients. In the second part (Section 3), we consider a matrix characteristic singular integral operators with piecewise constant coefficients of a special structure. Simplicity of the shift and the coefficients under consideration permits us to obtain conditions under which the Riemann boundary value problem admits an unique solution and to study the invertibility of the matrix characteristic singular integral operators.

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