积分平均法与偶数阶带阻尼项非线性微分方程的振动准则(英文)

Integral Averaging Technique and Oscillation Criteria for Even Order Nonlinear Damped Differential Equations

用积分平均法和黎卡提技巧,对偶数阶带阻尼项非线性微分方程研究获得一些新的振动准则,这些结果改进和推广了一些已有文献的性质。最后,我们给出实例以阐述本文结果的有效性。

Using the integral averaging technique and the generalized Riccat technique, some new oscillation criteria are established for even order nonlinear damped differential equations.In particular, an interesting example that demonstrates the importance of our results is also included. These results improve and extend some known results in the literature.