时标上的三阶非线性中立型变时滞动力方程的振动性与渐进性

Oscillatory and Asymptotic Behavior of Third-order Nonlinear Neutral Variable Delays Dynamic Equations on Time Scales

考虑了时标上一类三阶非线性中立型变时滞动力方程的振动性和渐进性.利用Riccati变换技巧得到了方程所有解振动或渐进趋于零的充分条件.特别地,所得新结果发展了一些已有结论.并给出了例子加以说明本文的主要结果.

This paper＇is concerned with oscillatory and asymptotic behavior of third-order nonlinear neutral variable delays dynamic equations on time scales. By using the generalized Riccati transformation technique, we establish some sufficient conditions which guarantee that every solution of the equation oscillates or converges to zero. In particular, our new results generalize and extend some known results. An example is given to illustrate the main results of the paper.