| 一类广义Emden-Fowler阻尼方程的振动准则 |
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| 引用本文： | 惠远先,王俊杰. 一类广义Emden-Fowler阻尼方程的振动准则[J]. 重庆文理学院学报, 2016, 35(5): 19-23 |
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| 作者姓名： | 惠远先 王俊杰 |
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| 作者单位： | 普洱学院数学系， 云南普洱665000,普洱学院数学系， 云南普洱665000 |
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| 基金项目： | 云南省教育厅基金项目（2015Y490）；普洱学院校级科研创新团队项目（2015CXTD003）；普洱学院课题（2015xjkt20） |
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| 摘 要： | 文章研究一类广义Emden-Fowler阻尼方程的振动性质，利用广义Riccati变换和积分平均技巧，建立了保证方程一切解振动或者收敛到零的若干新的充分条件.所得结论推广和改进了最近文献中的若干结果.
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| 关 键 词： | 广义Emden-Fowler阻尼方程；广义Riccati变换；振动准则 |
Some oscillation results of a generalized Emden-Fowler equation |
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| HUI Yuanxian and WANG Junjie. Some oscillation results of a generalized Emden-Fowler equation[J]. Journal of Chongqing University of Arts and Sciences, 2016, 35(5): 19-23 |
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| Authors: | HUI Yuanxian and WANG Junjie |
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| Affiliation: | Mathematics Department,Puer University, Puer Yunnan 665000, China and Mathematics Department,Puer University, Puer Yunnan 665000, China |
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| Abstract: | The purpose of this paper is to study the oscillation properties of a generalized Emden-Fowler equation with damping. Using a generalized Riccati transformation and integral averaging technique, some new sufficient criteria were established to insure that any solution of this equation oscillates or converges to zero. The results extend and improve the ones in recent literature. |
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| Keywords: | a generalized Emden-Fowler equation with damping generalized Riccati transformation oscillation criteria |
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