带强迫项与阻尼项的二阶非线性微分方程的区间振动性 |
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引用本文: | 张颖.带强迫项与阻尼项的二阶非线性微分方程的区间振动性[J].数学的实践与认识,2014(15). |
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作者姓名: | 张颖 |
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作者单位: | 吕梁学院数学系; |
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基金项目: | 山西省教育厅资助项目(J2011111);山西省吕梁学院校级科研项目(ZRQN201204,ZRXN201205) |
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摘 要: | 研究了一类二阶非线性微分方程的振动性.利用广义黎卡提变换和积分平均技巧建立了方程(1)的新的振动准则,推广了文献中已有的一些结果.
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关 键 词: | 二阶 非线性 振动准则 |
Interval Oscillation Criteria for a Forced Second-Order Nonlinear Differential Equations with Damping |
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Abstract: | This paper is concerned with interval oscillation criteria for second-order nonlinear differential equations.By using the generalized Riccati transformation and the intergral averaging technique,new oscillation criteria are obtained for all solutions of the equations.These results generalize some known results. |
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Keywords: | second-order oscillation criteria nonlinear |
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