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三阶非线性脉冲时滞微分方程的振动性与渐进性
引用本文:朱亚锟,王幼斌.三阶非线性脉冲时滞微分方程的振动性与渐进性[J].温州大学学报(社会科学版),2009(5):1-7.
作者姓名:朱亚锟  王幼斌
作者单位:温州大学数学与信息科学学院,浙江温州325035
摘    要:讨论了一类三阶非线性脉冲时滞微分方程解的振动性与渐进性,解决了非振动解与其导数的符号关系,所给出的充分条件改进了一些已知结果,并且比相关文献中的条件要简洁且易验证.

关 键 词:脉冲时滞微分方程  振动性  渐进性

Oscillatory and Asymptotic Behaviors of Third Order Nonlinear Delay Differential Equation with Impulse
ZHU Yakun,WANG Youbin.Oscillatory and Asymptotic Behaviors of Third Order Nonlinear Delay Differential Equation with Impulse[J].Journal of Wenzhou University Natural Science,2009(5):1-7.
Authors:ZHU Yakun  WANG Youbin
Institution:(College of Mathematics and Information Science, Wenzhou University, Wenzhou, China 325035)
Abstract:The oscillatory and asymptotic behaviors of third order nonlinear delay differential equation with impulse were investigated. And the problem of the symbol relationships between the nonoscillation solutions and their derivatives was solved. The obtained sufficient conditions perfect some known results. And these conditions are more succinct and easier to be verified
Keywords:Delay Differential Equation with Impulse  Oscillatory Behavior  Asymptotic Behavior
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