二阶非线性中立型时滞微分方程的新振动准则

On New Oscillation Criteria for Second Order Nonlinear Neutral Delay Differential Equations

研究了一类二阶非线性中立型时滞微分方程的振动问题.利用广义Riccati不等式,建立了若干新的振动准则.其结果改进和推广了最近的一些已知结果,并且给出了若干例子说明所得结果的有效性.

In this paper, the oscillation problem for a certain class of second order nonlinear neutral delay differential equations has been studied. By using generalized Riccati inequality, several new oscillation cri- teria have been published. The results of this paper generalize and improve several known results in the literature recently. Some illustrating examples have also been provided to show the importance of these results.