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(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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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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