| 三阶半线性中立型微分方程的振动性 |
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| 引用本文： | 李元旦,高正晖,邓义华. 三阶半线性中立型微分方程的振动性[J]. 北华大学学报(自然科学版), 2012, 13(3): 267-270 |
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| 作者姓名： | 李元旦 高正晖 邓义华 |
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| 作者单位： | 衡阳师范学院数学与计算科学系,湖南衡阳,421002;衡阳师范学院数学与计算科学系,湖南衡阳,421002;衡阳师范学院数学与计算科学系,湖南衡阳,421002 |
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| 基金项目： | 湖南省自然科学基金资助项目，湖南省教育厅科研计划项目 |
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| 摘 要： | 研究了一类三阶半线性中立型微分方程,利用广义Riccati变换和微分不等式,得到了该类方程一切解振动或者收敛到零的若干充分条件.
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| 关 键 词： | 半线性 中立型方程 Riccati变换 微分不等式 振动性 |
Oscillation for Third Order Semi-linear Neutral Differential Equations |
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| LI Yuan-dan,GAO Zheng-hui,DENG Yi-hua. Oscillation for Third Order Semi-linear Neutral Differential Equations[J]. Journal of Beihua University(Natural Science), 2012, 13(3): 267-270 |
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| Authors: | LI Yuan-dan GAO Zheng-hui DENG Yi-hua |
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| Affiliation: | (Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421002,China) |
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| Abstract: | A class of the third order semi-linear neutral differential equation is studied,some new sufficient conditions which insure any solution of the equation oscillates or converges to zero are obtained by using the generalized Riccati transformation and differential inequality. |
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| Keywords: | semi-linear neutral equation Riecati transformation differential ineauality oscillation |
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