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Zbl 0933.39027
Li, Horng-Jaan; Yeh, Cheh-Chih
Oscillation criteria for second-order neutral delay difference equations. (English)
[J] Comput. Math. Appl. 36, No.10-12, 123-132 (1998). ISSN 0898-1221

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 $f\in C(\bbfR; \bbfR)$.

MSC 2000:: *39A11 Stability of difference equations

Keywords: neutral delay difference equation; nonoscillatory; oscillation; second-order delay difference equation

Cited in: Zbl 1153.34040

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