A direct method of solving singular integral equations with the Hilbert kernel

2009 ◽  
Vol 53 (6) ◽  
pp. 53-57
Author(s):  
V. P. Kadushin ◽  
A. I. Shakirov
Keyword(s):  
Integral Equations ◽  
Singular Integral ◽  
Direct Method ◽  
Singular Integral Equations ◽  
Hilbert Kernel ◽  
A Direct Method

Regularization Method for Complete Singular Integral Equation with Hilbert Kernel on Open Arcs

2013 ◽  
Vol 765-767 ◽  
pp. 643-646
Author(s):  
Li Xia Cao
Keyword(s):  
Integral Equation ◽  
Singular Integral Equation ◽  
Integral Equations ◽  
Singular Integral ◽  
Regularization Method ◽  
Singular Integral Equations ◽  
Noether Theorem ◽  
Hilbert Kernel

We considered the regularization method for a kind of complete singular integral equation with Hilbert kernel on open arcs lying in a period strip. And based on this, we obtained the solvable Noether theorem for this kind of complete singular integral equations.

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