| 一类奇数阶非线性脉冲微分方程的振动性与渐近性 |
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| 引用本文： | 温坤文.一类奇数阶非线性脉冲微分方程的振动性与渐近性[J].嘉应学院学报,2011,29(5):15-20. |
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| 作者姓名： | 温坤文 |
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| 作者单位： | 嘉应学院数学学院,广东梅州,514015 |
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| 摘 要： | 研究了一类奇数阶非线性脉冲微分方程解的振动和渐近性态.应用脉冲微分不等式和Ricatti变换,得到这类奇数阶非线性脉冲微分方程或者振动,或者渐近的若干充分性判定定理.
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| 关 键 词： | 奇数阶 非线性 脉冲微分方程 振动性 渐近性 |
Oscillatory and Asymptotic Behaviors of A Class of Odd-order Nonlinear Differential Equations with Impulses |
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| WEN Kun-wen.Oscillatory and Asymptotic Behaviors of A Class of Odd-order Nonlinear Differential Equations with Impulses[J].Journal of Jiaying University,2011,29(5):15-20. |
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| Authors: | WEN Kun-wen |
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| Institution: | WEN Kun-wen(School of Mathematics,Jiaying University,Meizhou 514015,China) |
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| Abstract: | In this article,we investigate the oscillatory and asymptotic behaviors of a class of odd-order nonlinear differential equations with impulses.Using impulsive differential inequality and Ricatti transform,we obtain three critera that ensure every solution either oscillatory or(nonoscillatory and) zero convergent.In addition,we provide several examples to show that impulses play an important role in the oscillatory and asymptotic behaviors of equations. |
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| Keywords: | two-dimensional discrete system pitchfork bifurcation flip bifurcation Hopf bifurcation |
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