A numerical \(C^{1}\)-shadowing result for retarded functional differential equations (Q1612403)

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scientific article; zbMATH DE number 1787689
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A numerical \(C^{1}\)-shadowing result for retarded functional differential equations
scientific article; zbMATH DE number 1787689

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    A numerical \(C^{1}\)-shadowing result for retarded functional differential equations (English)
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    22 August 2002
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    The author studies a theoretical approach of the exact solution of a retarded functional differential equation and its numerical approximation. For to obtain the results of \(C^1\)-estimation a fixed point theorem is used. The theoretical results are confirmed by concrete numerical examples.
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    \(C^1\)-shadowing
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    retarded functional differential equations
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    discretization by projection
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    numerical examples
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