| 时间尺度上一类具阻尼项的二阶动力方程的振动性 |
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| 引用本文： | 刘一龙. 时间尺度上一类具阻尼项的二阶动力方程的振动性[J]. 邵阳学院学报(自然科学版), 2012, 9(3): 10-14 |
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| 作者姓名： | 刘一龙 |
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| 作者单位： | 邵阳学院理学与信息科学系,湖南邵阳,422004 |
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| 基金项目： | 国家自然科学基金(11071066);湖南省教育厅科研基金资助项目(10C1188) |
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| 摘 要： | 本文研究了时间尺上的一类具有阻尼项和变时滞的二阶非线性中立型动力方程的振动性.通过引入参数函数和广义的Riccati变换,并借助时间测度链上的有关理论,得到了该类方程振动的几个充分条件.所得结果推广和改进了现有文献中相应的结果.
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| 关 键 词： | 时间测度链 动力方程 阻尼项 Riccati变换 振动性 |
Oscillation of a Class of Second-order Dynamic Equation on Time Scales with Damping term |
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| LIU Yi-Long. Oscillation of a Class of Second-order Dynamic Equation on Time Scales with Damping term[J]. Journal of Shaoyang University(Natural Science Edition), 2012, 9(3): 10-14 |
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| Authors: | LIU Yi-Long |
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| Affiliation: | LIU Yi-Long(Department of Science and Information Science,Shaoyang University,Shaoyang,Hunan 422004,China) |
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| Abstract: | In this paper,the oscillation for a class of second order nonlinear dynamic equation on time scales with damping term and variable delay was discussed.Using the time scales theory and some necessary analytic techniques,some sufficient conditions for oscillation of the equation were proposed by introducing parameter function and the generalized Riccati transformation.These results improve and generalize some corresponding known results in the literature. |
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| Keywords: | time scales dynamic equations damping term Riccati transformation oscillation |
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