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In this paper, the authors establish some new conditions for the oscillation of second order nonlinear difference equation of the form ∆ ( an∆ ( yn + pnyn−k )) +qny β n+1−` = 0, where α > 1 and β are ratio of odd positive integers. Examples are provided to illustrate the importance of the main results.

Oscillation of second order nonlinear difference equations with super-linear neutral term