Approximate solution of a certain class of nonlinear singular integral equations (Q1116684)
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scientific article; zbMATH DE number 4090751
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate solution of a certain class of nonlinear singular integral equations |
scientific article; zbMATH DE number 4090751 |
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Approximate solution of a certain class of nonlinear singular integral equations (English)
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1987
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The authors consider nonlinear singular integral equation of the form \[ (*)\quad u(y)=\lambda /2\pi \int^{2\pi}_{0}F(y,s,u(s))\cot (s- y)/2\quad ds. \] They obtain solutions of (*) in generalized Hölder spaces by the method of successive approximations. The rate of convergence for the approximate solution of (*) is determined.
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Hilbert kernel
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nonlinear singular integral equation
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Hölder spaces
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method of successive approximations
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rate of convergence
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