Oscillation of higher-order linear difference equations (Q1600418)
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scientific article; zbMATH DE number 1755287
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation of higher-order linear difference equations |
scientific article; zbMATH DE number 1755287 |
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Oscillation of higher-order linear difference equations (English)
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13 June 2002
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This paper is concerned with the oscillatory and asymptotic behavior of the solutions of the linear higher-order difference equation of the form \[ \Delta ^{m}x(n)+p(n)x(n-k)=0. \] Two interesting sufficient conditions (one involving the \(\limsup\) and the other the \(\liminf\)) are established. Two examples illustrating the significance of the results by comparing to known results are given.
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oscillation
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higher-order linear difference equations
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asymptotic
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