时间尺度上三阶Emden-Fowler动力方程的振动准则

Oscillation Criteria for Third-order Emden-Fowler Delay Dynamic Equations on Time Scales

运用Riccati变换技术，研究了时间尺度T上三阶Emden—Fowler时滞动力方程 （a（t）（r（t）x^△（t））^△）^△＋p（t）x^r（T（t））=0的振动性，这里r〉0是正奇数的比，a，r，p是定义在T上的正的实值rd-连续函数,得到一些新的振动结果，推广和丰富了已有文献中的结论．另外，还给出了几个例子说明主要结果的合理性．

By means of Riccati transformation technique, the authors establish some new oscillation criteria for the third-order Emden-Fowler delay dynamic equations （a（t）（r（t）x^△（t））^△）^△＋p（t）x^r（T（t））=0 on a time scales T, where r 〉 0 is a quotient of odd positive integers, a, r, p are real-valued positive rd-continuous functions defined on T. Some new oscillation results which deal with some cases not covered by existing results in the literature are obtained. Some examples are considered to illustrate the main results.