| 积分平均法与偶数阶带阻尼项非线性微分方程的振动准则 |
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| 引用本文： | 陈目,张静. 积分平均法与偶数阶带阻尼项非线性微分方程的振动准则[J]. 工程数学学报, 2008, 25(5) |
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| 作者姓名： | 陈目 张静 |
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| 作者单位： | 1. 湛江教育学院数学系,湛江,524037
2. 广州大学纺织服装学院公共教学部,广州,510310 |
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| 摘 要： | 用积分平均法和黎卡提技巧,对偶数阶带阻尼项非线性微分方程研究获得一些新的振动准则,这些结果改进和推广了一些已有文献的性质.最后,我们给出实例以阐述本文结果的有效性.
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| 关 键 词： | 振动 非线性微分方程 偶数阶 积分平均法 |
Integral Averaging Technique and Oscillation Criteria for Even Order Nonlinear Damped Differential Equations |
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| CHEN Mu,ZHANG Jing. Integral Averaging Technique and Oscillation Criteria for Even Order Nonlinear Damped Differential Equations[J]. Chinese Journal of Engineering Mathematics, 2008, 25(5) |
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| Authors: | CHEN Mu ZHANG Jing |
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| Abstract: | Using the integral averaging technique and the generalized Riccat technique, some new oscillation criteria are established for even order nonlinear damped differential equations.In particular, an interesting example that demonstrates the importance of our results is also included. These results improve and extend some known results in the literature. |
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| Keywords: | oscillation nonlinear differential equation even order integral averaging technique |
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