| 一类二阶半线性时滞微分方程的振动准则 |
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| 引用本文： | 钟记超,欧阳自根,郝振府. 一类二阶半线性时滞微分方程的振动准则[J]. 衡阳工学院学报, 2010, 0(1): 29-31 |
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| 作者姓名： | 钟记超 欧阳自根 郝振府 |
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| 作者单位： | [1]南华大学数理学院,湖南衡阳421001 [2]南华大学核能经济与管理研究中心,湖南衡阳421001 |
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| 基金项目： | 湖南省自然科学基金资助项目（07JJ3130）; 南华大学学科带头人基金资助项目（2007XQD13）;南华大学博士启动基金资助项目（5-XQD-2006-9） |
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| 摘 要： | 建立一类二阶半线性时滞微分方程的几个振动准则.利用一个新的方法,得到所有解振动的一些充分条件,新的结论改善和推广了一些相关文献的振动准则,给出的例子用来阐明新的结论.
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| 关 键 词： | 半线性 时滞微分方程 振动 最终正解 |
Oscillation Criteria for a Class of Second-order Euasilinear Delay Differential Equations |
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| ZHONG Ji-chao,OUYANG Zi-gen,HAO Zhen-fu. Oscillation Criteria for a Class of Second-order Euasilinear Delay Differential Equations[J]. , 2010, 0(1): 29-31 |
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| Authors: | ZHONG Ji-chao OUYANG Zi-gen HAO Zhen-fu |
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| Affiliation: | 1.School of Mathematics and Physics,University of South China,Hengyang,Hunan 421001,China;2.Center of Nuclear Energy Economy and Management,University of South China,Hengyang,Hunan 421001,China) |
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| Abstract: | Several oscillation criteria for a class of second-order quasilinear delay differential equation are established in this paper.Using a new method,some sufficient conditions for the oscillation of all solutions are given,and new results improve and extend some similar oscillation criteria.Example is inserted to illustrate the results. |
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| Keywords: | Quasilinear Delay differential equation Oscillation Eventually positive solution |
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