Stability of analytic and numerical solutions for differential equations with piecewise continuous arguments (Q417115)
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scientific article; zbMATH DE number 6034196
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability of analytic and numerical solutions for differential equations with piecewise continuous arguments |
scientific article; zbMATH DE number 6034196 |
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Stability of analytic and numerical solutions for differential equations with piecewise continuous arguments (English)
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14 May 2012
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Summary: The asymptotic stability of the analytic and numerical solutions for differential equations with piecewise continuous arguments is investigated by using Lyapunov's method. In particular, linear equations with variable coefficients are considered. The stability conditions of the analytic solutions of those equations and the numerical solutions of the \(\theta\)-methods are obtained. Some examples are illustrated.
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