一类二阶非线性变时滞差分方程解的振动性

Oscillation of Solutions for a Class of Second-Order Nonlinear Variable Delay Difference Equation

研究了一类具有正负系数的二阶非线性中立型变时滞阻尼差分方程的振动性,通过引入参数函数和Riccati变换,获得了该类方程振动的判别准则,所得结论推广并改进了现有文献中的一系列结果,并给出了具体例子用以说明文中的主要结论.

The oscillation of a class of second-order nonlinear neutral variable delay damped difference equation with positive and negative coefficients is discussed. By introducing parameter function and the generalized Riccati transformation, some new oscillation criteria for the equation are proposed. The results extend and improve the re- sults given in literatures. An example is given to illustrate our main results.