Global attractivity of a class of nonlinear functional-differential equations and its applications (Q2732379)
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scientific article; zbMATH DE number 1623630
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global attractivity of a class of nonlinear functional-differential equations and its applications |
scientific article; zbMATH DE number 1623630 |
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20 November 2001
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delay differential equation
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global attractivity
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red-blood cell growth model
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Global attractivity of a class of nonlinear functional-differential equations and its applications (English)
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The author gives a 3/2-type stability result [see e.g. \textit{J. A. Yorke}, J. Differ. Equations 7, 189-202 (1970; Zbl 0184.12401)] for scalar nonautonomous delay differential equations of the form NEWLINE\[NEWLINE \dot x(t) + a(t) ( x(t)+1) \log (1+x(t)) + (1+x(t)) F( t,x(\cdot)) = 0. NEWLINE\]NEWLINE The result is applied to the red-blood cell growth model NEWLINE\[NEWLINE \dot x(t) = -\mu x(t) + p e^{-x(t-\tau)}. NEWLINE\]NEWLINE NEWLINENEWLINENEWLINEThe paper suffers from misprints (even in the mathematical formulas), which make the presentation unclear.
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