Analytical and numerical stability of nonlinear neutral delay integro-differential equations (Q553559)
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scientific article; zbMATH DE number 5933199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Analytical and numerical stability of nonlinear neutral delay integro-differential equations |
scientific article; zbMATH DE number 5933199 |
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Analytical and numerical stability of nonlinear neutral delay integro-differential equations (English)
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27 July 2011
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The authors study analytical and numerical stability of nonlinear neutral delay integro-differential equations (NDIDEs). They derive sufficient conditions for analytical stability for the equations with a variable delay. It is shown that any A-stable linear multistep method can preserve the asymptotic stability of the analytical equation for nonlinear NDIDEs with a constant delay. Numerical experiments validate the theory.
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nonlinear neutral delay integro-differential equation
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analytical and numerical stability
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linear multistep method
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asymptotic stability
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numerical experiments
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