二阶非线性阻尼差分方程的振动性

Oscillation Criteria for Second-order Nonlinear Difference Equations with Damping Terms

研究了一类含有中立项和阻尼项二阶非线性差分方程,运用Riccati变换,获得了该方程一切解均为振动的若干新的振动准则,推广和改进了文[3]和[8]的主要结果。

This paper studies oscillation for second-order nonlinear neutral delay difference equation with damping terms. By using Riccati transformation, Some new sufficient conditions for the oscillation of each solution of the equation are obtained. Meanwhile, we generalize the main results of [3] and [8].