时间模上二阶非线性动态方程振荡性的新结果

New results of oscillation for second-order nonlinear dynamic equations on time scales

研究了时间模上一类二阶非线性的中立型变时滞动态方程的振荡性,利用时间模上的有关理论和大量不等式技巧,结合Riccati变换技术和H函数的方法,得到了该方程几个新的振荡准则,推广并改进了现有文献中的有关结果,通过例子说明了研究结论的重要性.

The oscillation for a certain class of second-order nonlinear neutral variable delay dynamic equations on time scales is discussed. Using the time scales theory and a lot of inequality techniques, combining with generalized Riccati transformation and the method of H function, some new oscillation criteria of the equations are established. Some existing results in the literature are improved and extended, and some examples are given to illustrate the importance of our results.