半线性Emden-Fowler微分方程的振动性

Oscillation of the half-linear Emden-Fowler differential equation

主要研究了一类半线性Emden-Fowler微分方程的振动性.利用广义Riccati变换和积分平均技巧建立新的振动准则,推广和改进了一些文献中的结果.此外,给出每个定理所相对应的例子,用来说明其相对于已有文献中的定理具有一定的优越性.

In this paper, we study the oscillation of a half-linear Emden-Fowler differential equation With the help of the generalized Riccati transformation and integral averaging technique, we establish some new oscillation criteria for the above equation. These results extend and improve some existing results in the cited literature.Also, our results are illustrated with some examples. It is shown that the theorem has some advantages over the existing literature.