n阶非线性时滞微分方程的振动性

Oscillation of n-th Order Nonlinear Delay Differential Equations

研究了一类n阶非线性时滞微分方程的振动性.利用广义Riccati变换,积分平均技巧和不等式,建立此微分方程若干新的振动准则,推广且改进了最近一些文献中的n阶非线性时滞微分方程的某些振动结果.

We study the oscillation problem for solutions of a certain class of n-th order nonlinear delay differential equations.By using the generalized Riccati transformation,integral averaging technique and an inequality,we establish some new oscillation criteria for the equations above.The obtained results correlate and improve many of the oscillation results in the cited literature for n-th order nonlinear delay differential equations.