Noether Theorem of a Kind of Singular Integral Equation with Hilbert Kernel on Open Arcs

Li Xia Cao

doi:10.4028/www.scientific.net/AMR.765-767.695

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HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 765-767Noether Theorem of a Kind of Singular Integral...

Noether Theorem of a Kind of Singular Integral Equation with Hilbert Kernel on Open Arcs

Abstract:

We discussed a kind of singular integral equation with Hilbert kernel on open arcs lying in a period strip. By using the method of complex functions, we obtained the extended Plemelj Formula with Hilbert kernel, and based on this, we obtained the general solutions and the solvable conditions for this kind of characteristic singular integral equation with Hilbert kernel on open arcs.

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Periodical:

Advanced Materials Research (Volumes 765-767)

Pages:

695-698

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.765-767.695

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Online since:

September 2013

Authors:

Li Xia Cao

Keywords:

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

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