Oscillation properties of solutions of second order nonlinear neutral delay difference equations (Q1386782)

Under some assumptions, to complicate to be presented here, the authors prove that the inequality \[ \Delta^2(y_n+\lambda y_{n-k})+ q_n g(y_{n+ a-1})\leq 0 \] has no eventually positive solution. Two similar theorems are obtained as conclusions of the theorem from above.