Asymptotic behavior of third order delay difference equations with a negative middle term.

In this paper, we establish some sufficient conditions which ensure that the solutions of the third order delay difference equation with a negative middle term Δ (a n Δ (Δ w n) α) − p n (Δ w n + 1) α − q n h (w n − l) = 0 , n ≥ n 0 , are oscillatory. Moreover, we study the asymptotic behavior of the nonoscillatory solutions. Two illustrative examples are included for illustration. [ABSTRACT FROM AUTHOR]