Boundedness and asymptotic properties of solutions of some linear and sublinear delay difference equations (Q419074)
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scientific article; zbMATH DE number 6036218
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundedness and asymptotic properties of solutions of some linear and sublinear delay difference equations |
scientific article; zbMATH DE number 6036218 |
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Boundedness and asymptotic properties of solutions of some linear and sublinear delay difference equations (English)
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18 May 2012
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linear and sublinear difference equation
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boundedness
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asymptotic behavior
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delay difference equation
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The authors consider the delay difference equation NEWLINE\[NEWLINE \Delta y(n) = a(n)y(n) + \sum_1^k b_i(n)|y(\tau_i(n))|^{r_i}sgn\;y(\tau_i(n))\;,n\geq n_0 \;,\;\tau_i(n)<n NEWLINE\]NEWLINE Under some assumptions among which \(0<|1+a(n)|<1\) they deduce an asymptotic estimate for the solutions of the equation. Particular cases as examples are considered.
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