一类二阶拟线性差分方程的非振动性定理

研究了二阶拟线性差分方程Δ(pnφ(Δxn) ) +f(n ,xn) =0的渐近性 ,并给出了当任给 k≠ 0 , ∞n =n0φ-1kpn =∞时此方程存在Ac∞ ,A0c 型非振动解的充要条件以及存在A0 ∞

Note on Some Oscillation Theorems in a Recent Paper

In this paper, some counterexamples are offered to illustrate that some results stated in a recent paper on the oscillatory behavior of solutions of second order nonlinear difference equation are incorrect.