| 三阶中立型分布时滞微分方程的振动定理 |
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| 引用本文： | 俞元洪.三阶中立型分布时滞微分方程的振动定理[J].琼州学院学报,2010(5):1-5. |
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| 作者姓名： | 俞元洪 |
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| 作者单位： | 中国科学院数学与系统科学研究院,北京100190; |
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| 摘 要： | 研究了一类三阶中立型分布时滞微分方程的振动性.利用广义Riccati变换和积分平均技巧,建立了保证此方程一切解振动或者收敛到零的若干新的充分条件.
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| 关 键 词： | 三阶中立型方程 分布时滞 Philos型振动定理 |
Oscillation Theorems for Third Order Neutral Equations with Distributed Delays |
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| YU Yuan-hong.Oscillation Theorems for Third Order Neutral Equations with Distributed Delays[J].Journal of Qiongzhou University,2010(5):1-5. |
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| Authors: | YU Yuan-hong |
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| Institution: | YU Yuan-hong(Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190,China) |
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| Abstract: | In this paper the oscillation of third order neutral differential equations with distributed delays is studed.By using a generalized Riccati transformation and integral averaging technique,some new sufficient condtions which insure that any solution of this equation oscillates or converges to zero,is established. |
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| Keywords: | third order neutral equation distributed delay Philos-type oscillation theorem |
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