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Oscillation and nonoscillation of second order neutral delay difference equations. (English) Zbl 1080.39503
Summary: Some new oscillation and nonoscillation criteria for the second order neutral delay difference equation \[ \Delta (c_n\Delta (y_n+p_ny_{n-k}))+q_ny_{n+1-m}^\beta =0,\quad n\geq n_0 \] where \(k\), \(m\) are positive integers and \(\beta \) is a ratio of odd positive integers are established, under the condition \(\sum \limits _{n=n_0}^{\infty }1/{c_n}<{\infty }\).

39A10 Additive difference equations
39A12 Discrete version of topics in analysis
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