A comparison theorem on oscillation behavior is firstly established for a class of even-order nonlinear neutral delay difference equations. By using the obtained comparison theorem, two oscillation criteria are derived for the class of even-order nonlinear neutral delay difference equations. Two examples are given to show the effectiveness of the obtained results.
Quanxin Zhang. "A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation." Abstr. Appl. Anal. 2014 (SI14) 1 - 5, 2014. https://doi.org/10.1155/2014/492492