| 时间测度链上二阶非线性动力方程的振动准则 |
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| 引用本文： | 杨甲山,杨麒乐.时间测度链上二阶非线性动力方程的振动准则[J].烟台大学学报(自然科学与工程版),2013,26(1):14-20. |
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| 作者姓名： | 杨甲山 杨麒乐 |
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| 作者单位： | 1. 邵阳学院理学与信息科学系,湖南邵阳,422004
2. 吉首大学商学院,湖南吉首,416000 |
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| 基金项目： | 国家自然科学基金资助项目，湖南省教育厅科研基金重点项目 |
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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,结合Riccati变换和一些不等式技巧,得到了该方程振动的几个新的充分条件,其结果不仅推广和改进了现有文献中的某些已知结果,而且在时间测度链上统一了具有非线性中立项的二阶变时滞微分方程和差分方程的振动性质.
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| 关 键 词： | 振动准则 时间测度链 动力方程 非线性中立项 变时滞 |
Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales |
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| YANG Jia-shan
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YANG Qi-le.Oscillation Criteria for Second-Order Nonlinear Dynamic Equations on Time Scales[J].Journal of Yantai University(Natural Science and Engineering edirion),2013,26(1):14-20. |
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| Authors: | YANG Jia-shan YANG Qi-le |
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| Institution: | 1. Department of Science and Information, Shaoyang University, Shaoyang 422004, China; 2. Business School, Jishou University, Hunan 416000, China) |
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| Abstract: | The oscillation for certain second-order nonlinear variable delay dynamic equations with nonlinear neutral term on time scales is discussed. By using the time scales theory, the generalized Riccati transformation and the in- equality technique, we establish some new oscillation criterions for the equations. Our results ont only extend and improve some known results, but also unify the oscillation of second-order nonlinear delay differential equations with nonlinear neutral term and second-order nonlinear delay difference equations with nonlinear neutral term. |
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| Keywords: | oscillation criterion time scales dynamic equations nonlinear neutral term variable delay |
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