关于二阶半线性微分方程新的振动结果

New oscillation results of second order half-linear differential equations

在本文中,得到了二阶半线性微分方程[p(t)|x′(t)|α-1 x′(t)]′+q(t)|x(t)|α-1 x(t)=0,α>0的一些新的振动结果.去掉以前得到的相关结果的一些假设条件,得到的结果推广和提升了许多新的结论,并给出了一些例子说明本文的结果的重要性.

Some new oscillation results are obtained for the second order half-linear differential equations of the form [p（t）｜x′（t）｜α-1 x′（t）]′＋q（t）｜x（t）｜^α-1 x（t）=0,α0.This paper removes some of the assumptions that has been required for the related results obtained before.The results generalize and improve many known conclusions.Some examples are also included to show the significance of the results.