A Comparison Theorem for Oscillation of the Even-Order Nonlinear Neutral Difference Equation

الملخص EN

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.