Oscillation for linear non-autonomous systems of difference equations with continuous arguments (Q860632)
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scientific article; zbMATH DE number 5083327
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation for linear non-autonomous systems of difference equations with continuous arguments |
scientific article; zbMATH DE number 5083327 |
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Oscillation for linear non-autonomous systems of difference equations with continuous arguments (English)
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9 January 2007
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The authors study the linear nonautonomous delay difference equation \[ \Delta^N \Big[ X(t) - PX (t-\gamma) \Big] + \sum_{j=1}^n Q_j(t) X(t - \sigma_j)= 0 \] (\(P,Q(t)\) \(m \times m\) matrices, \(\Delta\) forward difference operator, \(\gamma,\sigma_j\) positive constants) for continuous \(t\). The main theorem and its corollaries contain sufficient conditions for oscillation of solutions of the above equation. A final example for the scalar case illustrates this result.
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oscillation
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systems
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linear nonautonomous delay difference equation
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continuous argument
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