研究三阶半线性时滞微分方程$$(r_2(t)[(r_1(t)x^{\prime }(t){)}^{\prime }{]}^{\alpha }{)}^{\prime }+q(t)x^{\beta }(g(t))=0\text{eqno}(\mathrm{E})$$的振动性.利用适当的比较定理,建立了方程 $(\mathrm{E})$一切解振动的若干新的充分条件.所得结果改进和补充了最近文献中相应的结果.

This paper conserns the oscillatory properties of the third-order half-linear delay differential equations of the form$$(r_2(t)[(r_1(t)x^{\prime }(t){)}^{\prime }{]}^{\alpha }{)}^{\prime }+q(t)x^{\beta }(g(t))=0.\text{eqno}(\mathrm{E})$$ Applying suitable comparison theorems we present new criteria for oscillation of the equation $(\mathrm{E})$. Results obtained
generalize, improve and complement some known results in the literature, recently.