Noether Theorem of a Kind of Singular Integral Equation with Hilbert Kernel on Closed Contours

Li Xia Cao

doi:10.4028/www.scientific.net/AMM.347-350.2596

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 347-350Noether Theorem of a Kind of Singular Integral...

Noether Theorem of a Kind of Singular Integral Equation with Hilbert Kernel on Closed Contours

Abstract:

We considered a kind of singular integral equation with Hilbert kernel on closed contours. By using the method of complex functions, we obtain the extended Plemelj Formula with Hilbert kernel, and based on this, we obtained the related conditions of solvability and the general solution for the characteristic singular integral equation with Hilbert kernel on closed contours.

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Periodical:

Applied Mechanics and Materials (Volumes 347-350)

Pages:

2596-2599

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.347-350.2596

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Online since:

August 2013

Authors:

Li Xia Cao

Keywords:

General Solution, Hilbert Kernel, Singular Integral Equation, Solvable Conditions

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