Oscillation criteria for second-order neutral delay difference equations. (English) Zbl 0933.39027
Summary: We establish some oscillation criteria of the second-order delay difference equation
\[
\Delta\bigl[a_{n-1} \Delta(x_{n-1} +p_{n-1} x_{n-1-\sigma}) \bigr]+ q_nf(x_{n-\tau }) =0,
\]
where \(\sigma\) and \(\tau\) are nonnegative constants, \(\{a_n\}\), \(\{p_n\}\), \(\{q_n\}\) are nonnegative sequences and \(f\in C(\mathbb{R}; \mathbb{R})\).
MSC:
| 39A11 | Stability of difference equations (MSC2000) |
Keywords:
neutral delay difference equation; nonoscillatory; oscillation; second-order delay difference equationReferences:
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