Some remarks on the Hildebrandt-Graves theorem (Q1346954)
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scientific article; zbMATH DE number 739095
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on the Hildebrandt-Graves theorem |
scientific article; zbMATH DE number 739095 |
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Some remarks on the Hildebrandt-Graves theorem (English)
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30 March 1995
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Summary: This paper is concerned with a generalization of the Hildebrandt-Graves implicit function theorem building on a weaker acting condition for the derivative of the nonlinear operator involved. The abstract theorem is illustrated by means of an application to nonlinear singular integral equations where classical implicit function theorems do not apply.
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Hildebrandt-Graves implicit function theorem
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derivative of the nonlinear operator
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nonlinear singular integral equations
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