Global stability in a differential equation with piecewisely constant arguments (Q2721537)
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scientific article; zbMATH DE number 1613169
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global stability in a differential equation with piecewisely constant arguments |
scientific article; zbMATH DE number 1613169 |
Statements
16 January 2002
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differential equation
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global stability
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piecewise constant arguments
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0.9453697
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0.93251276
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0.92985606
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0.92041755
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Global stability in a differential equation with piecewisely constant arguments (English)
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The author considers a differential equation with piecewise constant arguments of the form NEWLINE\[NEWLINEN'(t) = r(t)(-\mu N(t) + \sum_{i=0}^{m} P_i\exp{-r_i N([t-i])}), t\geq 0.NEWLINE\]NEWLINE Asymptotic properties of the coefficient \(r(t)\) are used to define sufficient conditions for the global stability of a positive equilibrium.
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