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On the oscillation of certain neutral difference equations. (English) Zbl 0969.39006

Summary: Various new criteria for the oscillation of nonlinear neutral difference equations of the form \[ \Delta ^i (x_n-x_{n-h})+q_n |x_{n-g}|^c \text{sgn} x_{n-g} =0,\quad i=1,2,3 \text{ and } c>0, \] are established.

MSC:

39A11 Stability of difference equations (MSC2000)
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