研究一类三阶非线性差分方程的解的振动性和渐进性,利用分析法和Riccati变换技术,得到了这类方程解振动或者收敛于零的充分条件,推广了已有文献的相关结果.
Oscillation criteria and asymptotic properties for a family of third order nonlinear difference equa- tions were investigated by using some necessary analysis technique and Riccati transformation technique.We ob- tained some sufficient conditions which solutions of the equation are either oscillatory or converges to zero, which improves some known results.