Oscillation of certain neutral difference equations of mixed type (Q1270906)

The author obtains some sufficient conditions for the oscillation of all solutions of the neutral difference equations of the form \[ \Delta^i (x_n+ ax_{n-m}- bx_{n+k})= C[qx_{n-g} +px_{n+h}], \] where \(C=\pm 1\), \(i=1,2,3\), \(a,b,p\), and \(q\) are nonnegative integers. Examples are provided to illustrate the results.