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具有正负系数的二阶中立型时滞Emden-Fowler方程的振动准则

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具有正负系数的二阶中立型时滞Emden-Fowler方程的振动准则 罗红英1, 屈英2, 俞元洪31. 曲靖师范学院数学与统计学院, 曲靖 655011;
2. 中央财经大学统计与数学学院, 北京 100081;
3. 中国科学院数学与系统科学研究院, 北京 100190 Oscillation Criteria of Second Order Neutral Delay Emden-Fowler Equations with Positive and Negative Coefficients LUO Hongying1, QU Ying2, YU Yuanhong31. College of Mathematics and Statistics, Qujing Normal University, Qujing 655011, China;
2. Central University of Finance and Economics, School of Statistics and Mathematics, Beijing 100081, China;
3. Academy of Mathematics and Systems Science, the Chinese Academy of Sciences, Beijing 100190, China
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摘要该文建立了具有正负系数的二阶中立型时滞Emden-Fowler方程(at)[xt)+ptfxδt)))]')+qtgφxσt))))-rthφxt-τ)))=0,tt0.的一切解振动的若干新的充分条件,所得结果改进和推广了已知的一些结论,我们也用例子来说明结果的意义.
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收稿日期: 2016-05-03
基金资助:国家自然科学基金(11361048),云南省优势特色学科(数学)项目,云南省“常微分方程”精品课程项目,云南省科技厅项目,曲靖师范学院科研项目(2012QN016)和曲靖师范学院数学史与方法论重点课程建设项目(ZDKC2016002)资助.
引用本文:
罗红英, 屈英, 俞元洪. 具有正负系数的二阶中立型时滞Emden-Fowler方程的振动准则[J]. 应用数学学报, 2017, 40(5): 667-675. LUO Hongying, QU Ying, YU Yuanhong. Oscillation Criteria of Second Order Neutral Delay Emden-Fowler Equations with Positive and Negative Coefficients. Acta Mathematicae Applicatae Sinica, 2017, 40(5): 667-675.
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http://123.57.41.99/jweb_yysxxb/CN/ http://123.57.41.99/jweb_yysxxb/CN/Y2017/V40/I5/667


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