Discrete Halanay-type inequalities and applications. (Q1413958)
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scientific article; zbMATH DE number 2005475
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Discrete Halanay-type inequalities and applications. |
scientific article; zbMATH DE number 2005475 |
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Discrete Halanay-type inequalities and applications. (English)
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17 November 2003
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The authors derive new discrete Halanay-type inequalities that are used in establishing sufficient conditions for the global asymptotic stability of the generalized difference equation \(x_{n+1}=-(a+1)x_n-bf(n,_nx_{n-1},\dots,x_{n-r})\), \(b>0.\)
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global asymptotic stability
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difference equations
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Halanay inequality
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