时间轴上一类二阶动力系统的振动条件

Oscillation Conditions for A Class of Second-order Dynamic Equations on Time Scales

利用时间轴上的微积分理论和广义的黎卡提(Riccati)变换及不等式技巧,对时间轴T上一类二阶Emden-Fowler型变时滞中立型动力系统的振动性进行了研究,获得了该类方程振动的若干新的充分条件,改进、推广且丰富了已有文献中的结果,最后,给出了应用实例.

By using the calculus theory on time scales and the generalized Riccati transformation and the inequality technique, some oscillations criteria are established for certain second-order Emden- Fowler variable delay neutral dynamic equations on a time scale T, and some new sufficient conditions for oscillation of the equations are obtained. The results of this article deal with some cases not covered by existing results in the literature. Finally, an example is given to illustrate the applications of the obtained results.