Almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations (Q638100)
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scientific article; zbMATH DE number 5946492
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations |
scientific article; zbMATH DE number 5946492 |
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Almost surely asymptotic stability of exact and numerical solutions for neutral stochastic pantograph equations (English)
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9 September 2011
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Summary: We study the almost sure asymptotic stability of exact solutions to neutral stochastic pantograph equations (NSPEs), and sufficient conditions are obtained. Based on these sufficient conditions, we show that the backward Euler method (BEM) with variable stepsize can preserve the almost sure asymptotic stability. Numerical examples are presented for illustration.
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neutral stochastic pantograph equations
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asymptotic stability
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