Oscillation criteria of a class of second-order dynamic equations on time scales
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摘要: 研究了时间测度链上的一类具有非线性中立项的二阶非线性变时滞动力方程的振动性. 利用时间测度链上的理论和一些分析技巧, 通过引入参数函数和\,Riccati\,变换, 得到了该方程振动的几个充分条件, 推广和改进了现有文献中的有关结果.Abstract: The oscillation for a class of second-order nonlinear variable delay dynamic equations on time scales with nonlinear neutral term was discussed. Using the time scales theory and some necessary analytic techniques, and by introducing parameter function and the generalized Riccati transformation, some sufficient conditions for the oscillation of the equations were obtained. Some existing results in the literature are improved and extended.
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Key words:
- time scales /
- dynamic equations /
- nonlinear neutral term /
- variable delay /
- oscillation
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