Uniform \(l^1\) behaviour for time discretization of a Volterra equation with completely monotonic kernel. I: Stability (Q2783767)
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scientific article; zbMATH DE number 1730741
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniform \(l^1\) behaviour for time discretization of a Volterra equation with completely monotonic kernel. I: Stability |
scientific article; zbMATH DE number 1730741 |
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8 September 2002
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completely monotonic kernel
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nonlinear Volterra integro-ordinary differential equation
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time discretization
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stability
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Uniform \(l^1\) behaviour for time discretization of a Volterra equation with completely monotonic kernel. I: Stability (English)
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From viscoelasticity theory, e.g., there arises a certain complicated version of a nonlinear Volterra integro-ordinary differential equation. The time discretization of this equation is by no means elementary. The stability is investigated in detail. A paper on the convergence is in preparation.
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