| 具有分布时滞的高阶中立型双曲偏微分方程的振动准则 |
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| 引用本文： | 吕银平,林诗仲,丁朝刚.具有分布时滞的高阶中立型双曲偏微分方程的振动准则[J].南京气象学院学报,2011(3):280-284. |
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| 作者姓名： | 吕银平 林诗仲 丁朝刚 |
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| 作者单位： | 海南师范大学数学与统计学院, 海口, 571158;海南师范大学数学与统计学院, 海口, 571158;海南师范大学数学与统计学院, 海口, 571158 |
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| 基金项目： | 国家自然科学数学天元基金项目(1026033) |
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| 摘 要： | 考虑了一类具有分布时滞的高阶中立型双曲泛函偏微分方程.利用Green公式、Jensen不等式,通过特征值的方法,获得了方程解在两类边值条件下振动的新的准则,所得结果推广和改进了若干文献中已有准则.
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| 关 键 词： | 中立型方程 连续分布时滞 振动准则 |
| 收稿时间： | 2010/4/13 0:00:00 |
Oscillation criteria for high-order neutral hyperbolic partial differential equation with continuously distributed time delay |
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| Affiliation: | College of Mathematics and Statistics, Hainan Normal University, Haikou 571158;College of Mathematics and Statistics, Hainan Normal University, Haikou 571158;College of Mathematics and Statistics, Hainan Normal University, Haikou 571158 |
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| Abstract: | In this article,the oscillation of certain high-order neutral hyperbolic functional partial differential equation is considered.By using Green formula,Jensen inequlity,and eigenvalue method,we obtain some new oscillatory criteria on two boundary conditions that ensure the oscillation of solutions.The results obtained extend and improve a number of existing criteria in the literature. |
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| Keywords: | neutral equation continuously distributed time delay oscillation criteria |
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