Global asymptotic stability in a delay difference equation (Q2779146)
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scientific article; zbMATH DE number 1723990
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Global asymptotic stability in a delay difference equation |
scientific article; zbMATH DE number 1723990 |
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17 November 2002
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nonlinear delay difference equation
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global asymptotic stability
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0.9879631
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0.9808191
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0.9715427
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0.9603764
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Global asymptotic stability in a delay difference equation (English)
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The authors consider the nonlinear delay difference equation NEWLINE\[NEWLINE x_{n+1}-x_n+p_nx_{n-k}=f(n,x_{n-l}), \quad n=1,2,\dots, \tag \(*\) NEWLINE\]NEWLINE where \(p_n>0\), \(k,l\in \{0,1,2,\dots,\}\) and \(f(n,x)\) is continuous in \(x\in (-\infty,\infty)\) for each fixed \(n\). They obtain a sufficient condition for the global asymptotic stability of the zero solution of (\(*\)) which improves known results.
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