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三阶线性脉冲微分方程的振动性与渐近性
引用本文: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
作者姓名:黄辉  唐清干
作者单位:桂林电子科技大学数学与计算科学学院,广西桂林,541004;桂林电子科技大学数学与计算科学学院,广西桂林,541004
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
收稿时间:2008-10-14

Oscillatory and Asymptotic Behaviors of Third Order Differential Equations with Impulses
HUANG Hui and 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
Authors:HUANG Hui and TANG Qing-gan
Affiliation: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.
Keywords:differntial equation  impulse  oscillation  asymptotic behavior  
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