一类三阶半线性中立型时滞微分方程的振动性

Oscillation of a Class of Third Order Semi-Linear Neutral Delay Differential Equations

研究了一类中立型的三阶半线性微分方程的振动性,应用Riccati变换技巧构造不同的函数和经典不等式等方法,建立该类微分方程的一些新的振动性理论,所得结论推广和改进了文献中的相关结果,并举例来阐述新的振动性结论的应用。

The oscillations of a class of neutral third order semi-linear differential equations are studied.Different functions and classical inequalities are constructed by using Riccati transformation techniques.Some new oscillatory theories of this kind of differential equations are established.The conclusions generalize and improve the relevant results in the literature,and illustrate the application of the new oscillatory conclusions with examples.