Application of orthogonality relations to singular integral equations (Q919218)
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scientific article; zbMATH DE number 4159375
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Application of orthogonality relations to singular integral equations |
scientific article; zbMATH DE number 4159375 |
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Application of orthogonality relations to singular integral equations (English)
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1990
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Singular integral equations with Cauchy type kernels are considered on a real interval. A generalization of partial range orthogonality relations of neutron transport theory is used to generate solutions without the standard methods of Riemann-Hilbert boundary value problems. The equation has been studied by \textit{N. I. Muskhelishvili} [Singular integral equations (1953; Zbl 0051.332)] and by \textit{F. D. Gakhov} [Boundary value problems (1966; Zbl 0141.080)].
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Singular integral equations
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Cauchy type kernels
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range orthogonality relations
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neutron transport theory
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Riemann-Hilbert boundary value problems
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