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On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces - MaRDI portal

On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces (Q1594839)

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scientific article; zbMATH DE number 1558148
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English
On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces
scientific article; zbMATH DE number 1558148

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    On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces (English)
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    5 July 2001
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    The author considers a system of non-elliptic singular integral equations in Lebesgue space \(L_p\), \(1< p<\infty\). For an approximate solution of the system collocation and quadratures methods are applied. The case, when an equation digitalization points are taken in such a way that each point of the contour can be included in the set of points, is researched.
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    non-elliptic singular integral equation
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    collocation method
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    system
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    Lebesgue space
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    quadratures methods
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