| 二阶多时滞中立型微分方程的振动性 |
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| 引用本文： | 闫卫平,王兰红. 二阶多时滞中立型微分方程的振动性[J]. 安徽大学学报(自然科学版), 2015, 0(3): 1-4. DOI: 10.3969/j.issn.1000-2162.2015.03.001 |
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| 作者姓名： | 闫卫平 王兰红 |
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| 作者单位： | 山西大学数学科学学院,山西太原,030006 |
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| 基金项目： | 国家自然科学基金资助项目(11171194)；山西省自然科学基金资助项目 |
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| 摘 要： | 研究二阶线性中立型微分方程的振动性,对具有多时滞的一类二阶中立型微分方程的振动性进行讨论,利用比较原理将二阶多时滞中立型微分方程的振动性判断转化为判断一阶方程的振动性,这种比较原则最大限度地使研究的二阶方程得到简化.
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| 关 键 词： | 二阶多时滞线性中立型微分方程 比较原理 振动性 非振动性 |
Oscillation theorem for second order neutral differential equations with mutiple delays |
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| YAN Wei-ping , WANG Lan-hong. Oscillation theorem for second order neutral differential equations with mutiple delays[J]. Journal of Anhui University(Natural Sciences), 2015, 0(3): 1-4. DOI: 10.3969/j.issn.1000-2162.2015.03.001 |
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| Authors: | YAN Wei-ping WANG Lan-hong |
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| Abstract: | To study the oscillation of the second order neutral differential equations with mutiple delays of a class of second order neutral differential equations were discussed .The obtained result were based on the new comparison theorems ,that enable us to reduce the problem of the oscillation of the second order equation to the oscillation of the first order equation .T he obtained comparison principles essentially simplify the examination of the studied equations . |
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| Keywords: | second order neutral differential equations with mutiple delays comparison theorem oscillation nonoscillation |
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