Solving operator and integral equations by the Bogolyubov-Krylov method (Q1397561)
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scientific article; zbMATH DE number 1960508
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Solving operator and integral equations by the Bogolyubov-Krylov method |
scientific article; zbMATH DE number 1960508 |
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Solving operator and integral equations by the Bogolyubov-Krylov method (English)
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11 August 2003
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The author gives a strict function-theoretic proof of the Bogolyubov-Krylov method for the solution of second kind operator equations in normed spaces. The general theory of approximate methods of L.~V.~Kantorovich and approximation by splines of minimal degrees is essentially used. The received general results are applied to various classes of regular and singular integral equations.
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Bogolyubov-Krylov method
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integral equations with continuous and smooth kernels
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singular integral equations
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second kind operator equations
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normed spaces
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