On approximate solution of Hammerstein integral equations in the space \(L_p\) \((p\leqslant 1)\) (Q1406224)
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scientific article; zbMATH DE number 1978066
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On approximate solution of Hammerstein integral equations in the space \(L_p\) \((p\leqslant 1)\) |
scientific article; zbMATH DE number 1978066 |
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On approximate solution of Hammerstein integral equations in the space \(L_p\) \((p\leqslant 1)\) (English)
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9 September 2003
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The paper is devoted to the approximate solution of one-dimensional Hammerstein integral equations by the degenerate kernel method. The authors derive a sufficient condition for unique solvability of the corresponding system of nonlinear algebraic equations and an error bound. Two numerical examples conclude the paper which, however, are not convincing.
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Hammerstein integral equation
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degenerate kernel method
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error bound
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numerical examples
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0.9564667
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0.94462156
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0.93273705
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0.9280367
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