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The discrete Galerkin method for nonlinear integral equations - MaRDI portal

The discrete Galerkin method for nonlinear integral equations (Q1115113)

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scientific article; zbMATH DE number 4086902
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English
The discrete Galerkin method for nonlinear integral equations
scientific article; zbMATH DE number 4086902

    Statements

    The discrete Galerkin method for nonlinear integral equations (English)
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    1988
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    The authors consider the equation \(x=K(x)\), where K is a nonlinear completely continuous operator acting from an open set \(D\subset L^{\infty}(\Omega)\) into C(\(\Omega)\) with \(\Omega\) a set in \(R^ m\) (m\(\geq 1)\). The analysis of the discretized Galerkin method is investigated in connection with the fixed points of K.
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    error analysis
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    nonlinear Urysohn integral equation
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    nonlinear completely continuous operator
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    Galerkin method
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    fixed points
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