引用本文: |
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黄辉,唐清干.三阶线性脉冲微分方程的振动性与渐近性[J].广西科学院学报,2009,25(2):86-88. [点击复制]
- HUANG Hui,TANG Qing-gan.Oscillatory and Asymptotic Behaviors of Third Order Differential Equations with Impulses[J].Journal of Guangxi Academy of Sciences,2009,25(2):86-88. [点击复制]
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摘要: |
给出三阶线性脉冲微分方程非振动解与其各阶导数的符号关系,得到2个新的判别该方程振动性与渐近性的准则,并用实例来验证其有效性.新准则改进了一些已知结果. |
关键词: 微分方程 脉冲 振动性 渐近性 |
DOI: |
投稿时间:2008-10-14 |
基金项目:广西自然科学基金项目(0575092)资助。 |
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Oscillatory and Asymptotic Behaviors of Third Order Differential Equations with Impulses |
HUANG Hui, TANG Qing-gan
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(School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China) |
Abstract: |
According to the connection of nonoscillatory solutions and their denotation of derivative appeared in the equation, two new oscillatory conditons for oscillating and asymptotically tending to zero of solutions are obtained and verified by some examples by using new oscillatory conditons,some previous results are improved. |
Key words: differntial equation impulse oscillation asymptotic behavior |