具有连续分布时滞的四阶微分方程的振动性

Oscillation of Four th Order Differential Equationswith Continuously Distributed Delay

文章研究了一类中立型四阶微分方程的振动性,通过利用Riccati变换和Philos型积分技巧构造出不同的函数建立了α>0,β>0条件下该方程的一些新的振动准则,所得结论推广和改进了文献中的相关结果,并通过例子加以验证.

In this paper,the oscillation of a class of neutral fourth-order differential equations is studied.By using Riccati transformation and philos type integral technique to construct different functions,some new oscillation criteria of the equation are established under the condition of α> 0,β> 0.The conclusions generalize improve the related results in the literature and are verified by examples.