| 带有阻尼项的Emden-Fowler方程的区间振动准则 |
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| 引用本文： | 林全文,俞元洪. 带有阻尼项的Emden-Fowler方程的区间振动准则[J]. 数学杂志, 2012, 32(4): 716-722 |
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| 作者姓名： | 林全文 俞元洪 |
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| 作者单位： | 1. 广东石油化工学院数学系,广东茂名,525000
2. 中国科学院数学与系统科学研究院,北京,100190 |
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| 基金项目： | 广东石油化工学院理学院自然科学研究基金资助重点课题，广东石油化工学院人才引进资助项目，国家自然科学研究基金资助课题 |
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| 摘 要： | 本文研究了带有阻尼项的Emden-Fowler方程.利用广义Riccati变换技巧,给出带有阻尼项的Emden-Fowler方程的振动准则,它推广和改进了文献中的结果,例子说明了结果的应用.
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| 关 键 词： | Emden-Fowler方程 区间振动准则 广义Riccati变换 |
INTERVAL OSCILLATION CRITERIA FOR EMDEN-FOWLER EQUATION WITH A DAMPING TERM |
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| LIN Quan-wen , YU Yuan-hong. INTERVAL OSCILLATION CRITERIA FOR EMDEN-FOWLER EQUATION WITH A DAMPING TERM[J]. Journal of Mathematics, 2012, 32(4): 716-722 |
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| Authors: | LIN Quan-wen YU Yuan-hong |
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| Affiliation: | 1.Dept.of Math.,Guangdong University of Petrochemical Technology,Maoming 525000,China)(2.Academy of Math.and Systems Science,Chinese Academy of Sciences,Beijing 100190,China) |
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| Abstract: | In this paper,we study the Emden-Fowler equation.By using technique of generalized Riccati transformation,some oscillation criteria for the Emden-Fowler equation with a damping term are given,which generalize and improve several known results in the literature,our results are illustrated with an example. |
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| Keywords: | Emden-Fowler equation interval oscillation criterion generalized Riccati transformation |
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