Geodesic
Oscillation and nonoscillation of second order neutral delay difference equations
Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 935-947.

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Some new oscillation and nonoscillation criteria for the second order neutral delay difference equation \[ \Delta (c_n\Delta (y_n+p_ny_{n-k}))+q_ny_{n+1-m}^\beta =0,\quad n\ge n_0 \] where $k$, $m$ are positive integers and $\beta $ is a ratio of odd positive integers are established, under the condition $\sum _{n=n_0}^{\infty }\frac{1}{c_n}{\infty }.$
Classification : 39A10, 39A11, 39A12, 39A20
Keywords: neutral delay; difference equation; oscillation 
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     author = {Thandapani, E. and Mahalingam, K.},
     title = {Oscillation and nonoscillation of second order neutral delay difference equations},
     journal = {Czechoslovak Mathematical Journal},
     pages = {935--947},
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Thandapani, E.; Mahalingam, K. Oscillation and nonoscillation of second order neutral delay difference equations. Czechoslovak Mathematical Journal, Tome 53 (2003) no. 4, pp. 935-947. http://geodesic.mathdoc.fr/item/CMJ_2003__53_4_a12/