Abstract:
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
Delta(a(n) Delta(Delta w(n))(alpha)) p(n)(Delta w(n+1))(alpha) - q(n)h(w(n-1)) = 0, n >= n(0),
are oscillatory. Moreover, we study the asymptotic behavior of the nonoscillatory solutions. Two illustrative examples are included for illustration.