摘要：The main objective of this article is to improve and complement some of the oscillation criteria published recently in the literature for third order differential equation of the form $$ \bigl( r(t) \bigl( z^{\prime \prime }(t) \bigr) ^{\alpha } \bigr) ^{\prime }+q(t)f \bigl(x \bigl(\sigma (t) \bigr) \bigr)=0,\quad t\geq t_(>0, $$ where $z(t)=x(t)+p(t)x(\tau (t))$ and α is a ratio of odd positive integers in the two cases $\int _{t_(}^{\infty }r^{\frac{-1}{\alpha } }(s)\,\mathrm {d}s<\infty $ and $\int _{t_(}^{\infty }r^{\frac{-1}{\alpha } }(s)\,\mathrm {d}s=\infty $. Some illustrative examples are presented.
关键词：Oscillation;Third order differential equation;Nonlinear neutral equation;Nonoscillation;
