时标上三阶时滞动力方程的振动性和渐近性

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

张晓建¹,
杨甲山²

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

详细信息

中图分类号: O157.5
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- 文章访问数: 1552
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- 被引次数: 0
出版历程
- 收稿日期: 2013-06-01
- 修回日期: 2013-09-01
- 刊出日期: 2014-05-25

Oscillation and asymptotic behaviors for third-order delay dynamic equations on time scales

ZHANG Xiao-jian¹,
YANG Jia-shan²

1.
Department of Science and Information, Shaoyang University, Shaoyang, Hunan 422004, China;
2.
Department of Mathemedics and Physics, Wuzhou University, Wuzhou Guangxi 543002, China

摘要

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.
- 振动性 /
- 时滞动力方程 /
- Riccati变换 /
- 不等式技巧 /
- 时标
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.
- oscillation /
- delay dynamic equations /
- Riccati transformation /
- inequality techniques; time scales /

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参考文献(1)

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