| 带阻尼项的二阶强迫非线性微分方程解的振动性 |
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| 引用本文： | 张蒙,张丽萍. 带阻尼项的二阶强迫非线性微分方程解的振动性[J]. 北京建筑工程学院学报, 2010, 26(3): 71-74. DOI: 10.3969/j.issn.1004-6011.2010.03.016 |
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| 作者姓名： | 张蒙 张丽萍 |
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| 作者单位： | 北京建筑工程学院,理学院,北京,100044;北京建筑工程学院,理学院,北京,100044 |
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| 摘 要： | 提出了一类带阻尼项的二阶强迫非线性微分方程,讨论了此类方程的振动性质.这类方程具有更强的普遍性,是对已有方程的推广和延伸,得出的方程的振动性质推广了已有结论.最后给出一个例子说明定理的应用.
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| 关 键 词： | 二阶微分方程 振动性 变分法 |
Oscillation Theorems for Second-Order Nonlinear Perturbed Differential Equations with Damping |
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| Zhang Meng,Zhang Liping. Oscillation Theorems for Second-Order Nonlinear Perturbed Differential Equations with Damping[J]. Journal of Beijing Institute of Civil Engineering and Architecture, 2010, 26(3): 71-74. DOI: 10.3969/j.issn.1004-6011.2010.03.016 |
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| Authors: | Zhang Meng Zhang Liping |
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| Affiliation: | Zhang Meng,Zhang Liping (School of Science,BUCEA,Beijing 100044) |
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| Abstract: | A class of second-order nonlinear damped perturbed differential equations is considered and its oscillation theorems are discussed.These theorems are of higher degree of generality and deal with the cases which are not covered by the known criteria.Particularly,these criteria extend and unify the existing results.An example is illustrated to show the application of the theorems. |
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| Keywords: | second-order differential equation oscillation criteria calculus of variations |
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