| 非线性高阶阻尼时滞微分方程的振动定理 |
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| 引用本文： | 王晓静,宋国华.非线性高阶阻尼时滞微分方程的振动定理[J].生物数学学报,2010(1):29-34. |
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| 作者姓名： | 王晓静 宋国华 |
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| 作者单位： | 北京林业大学省部共建森林培育与保护教育部重点实验室;北京建筑工程学院理学院; |
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| 基金项目： | 科技部水专项资助重大项目(2008zx07314-006和2009zx07424-006) |
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| 摘 要： | 研究具有阻尼项的非线性时滞微分方程,给出了使得方程的一切解振动的两个充分条件.一些实例说明,本文的结果在判定非线性阻尼方程的振动性时较文献中的结果更为有效.
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| 关 键 词： | 时滞微分方程 高阶 阻尼 振动 |
Oscillation Theorems for Nonlinear Higher Order Delay Differential Equations with Damping |
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| WANG Xiao-jing SONG Guo-hua.Oscillation Theorems for Nonlinear Higher Order Delay Differential Equations with Damping[J].Journal of Biomathematics,2010(1):29-34. |
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| Authors: | WANG Xiao-jing SONG Guo-hua |
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| Institution: | WANG Xiao-jing~(1,2) SONG Guo-hua~2 (1 Key Laboratory for Silviculture , Conservation of Ministry of Education,Beijing Forestry University,Beijing 100083 China) (2 School of Science,Beijing University of Civil Engineering , Architecture,Beijing 100044 China) |
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| Abstract: | A class of nonlinear delay differential equations with damping is investigated in the present paper,two new oscillation theorems for nth order nonlinear delay differential equations are obtained.Some examples show that those results performs much better in justifying the oscillation of nonlinear delay differential equations with damping than the unknowns. |
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| Keywords: | Delay differential equations Higher order Damping Oscillation |
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