On the modified Newton's method for the solution of a class of nonlinear singular integro-differential equations (Q2574382)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the modified Newton's method for the solution of a class of nonlinear singular integro-differential equations |
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On the modified Newton's method for the solution of a class of nonlinear singular integro-differential equations (English)
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21 November 2005
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Summary: We investigate the solvability of a certain class of nonlinear singular integro-differential equations with Cauchy kernel in the usual Hölder space and its generalization by producing sufficient conditions for the convergence of the modified Newton's method.
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nonlinear singular integro-differential equations
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Cauchy kernel
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Hölder space
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convergence
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Newton's method
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