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| 时标上三阶时滞动力方程的振动性和渐近性 | |
| 引用本文： | 张晓建,杨甲山. 时标上三阶时滞动力方程的振动性和渐近性[J]. 华东师范大学学报(自然科学版), 2014, 2014(3): 51-59 |
| 作者姓名： | 张晓建 杨甲山 |
| 作者单位： | 1. 邵阳学院~~理学与信息科学系, 湖南~~邵阳 422004; 2. 梧州学院~~数理系, 广西~~梧州 543002 |
| 基金项目： | 湖南省科技厅基金项目(2012FJ3107);湖南省自然科学基金(12JJ6006);湖南省教育厅科研项目(10C1189) |
| 摘 要： | 研究了时标上的一类非线性三阶中立型时滞动力方程的振动性,运用Riccati变换技术和大量的不等式技巧,获得了该方程的每一个解或者振动或者渐近于零的新充分条件,推广和改进了一些已知结果,并以具体例子来说明了本文的主要结论. |
| 关 键 词： | 振动性 时滞动力方程 Riccati变换 不等式技巧 时标 |
| 收稿时间： | 2013-06-01 |
Oscillation and asymptotic behaviors for third-order delaydynamic equations on time scales |
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| ZHANG Xiao-jian,YANG Jia-shan. Oscillation and asymptotic behaviors for third-order delaydynamic equations on time scales[J]. Journal of East China Normal University(Natural Science), 2014, 2014(3): 51-59 | |
| Authors: | ZHANG Xiao-jian YANG Jia-shan |
| Affiliation: | 1. Department of Science and Information, Shaoyang University, Shaoyang, Hunan 422004, China; 2. Department of Mathemedics and Physics, Wuzhou University, Wuzhou Guangxi 543002, China |
| Abstract: | The oscillation for certain third-order nonlinear variable delay dynamic equations on time scales was discussed in this article. By using the generalized Riccati transformation and a lot of inequality techniques, we established some new sufficient conditions which ensure that every solution of the equations either oscillates or converges to zero. The results extend and improve some known results. Examples were given to illustrate the main results. |
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