Nonlinear Fredholm integral equations and majorant functions (Q2009056)
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scientific article; zbMATH DE number 7137012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Nonlinear Fredholm integral equations and majorant functions |
scientific article; zbMATH DE number 7137012 |
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Nonlinear Fredholm integral equations and majorant functions (English)
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27 November 2019
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The paper provides a study of a theoretical approximation method for a class of nonlinear Fredholm equations. The approach is based on an iterative scheme that makes use of majorizing sequence techniques and the Newton-Kantorovich theorem. The analysis is relatively deep; it includes questions regarding the existence and the uniqueness of the solution as well as numerical examples.
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Fredholm integral equation
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Newton's method
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majorant function
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domain of existence of solution
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domain of uniqueness of solution
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error estimates
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