| 具高阶Laplace算子的非线性脉冲时滞双曲型方程的振动判据 |
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| 引用本文： | 罗李平,杨柳.具高阶Laplace算子的非线性脉冲时滞双曲型方程的振动判据[J].系统科学与数学,2009,29(12):1672-1678. |
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| 作者姓名： | 罗李平 杨柳 |
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| 作者单位： | 衡阳师范学院数学与计算科学系,衡阳,421008 |
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| 基金项目： | 湖南省教育厅科研项目，湖南省自然科学基金 |
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| 摘 要： | 研究一类具高阶Laplace算子的非线性脉冲时滞双曲型偏微分方程的振动性,利用特征函数法和一阶脉冲时滞微分不等式,获得了该类方程在两类不同边值条件下所有解振动的若干充分性判据.所得结论充分反映了脉冲和时滞在振动中的影响作用.
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| 关 键 词： | 脉冲 双曲型偏微分方程 振动性 高阶Laplace算子. |
| 收稿时间： | 2007-4-30 |
| 修稿时间： | 2008-1-2 |
OSCILLATION CRITERIA FOR NONLINEAR IMPULSIVE DELAY HYPERBOLIC EQUATIONS WITH HIGHER ORDER LAPLACE OPERATOR |
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| LUO Liping,YANG Liu.OSCILLATION CRITERIA FOR NONLINEAR IMPULSIVE DELAY HYPERBOLIC EQUATIONS WITH HIGHER ORDER LAPLACE OPERATOR[J].Journal of Systems Science and Mathematical Sciences,2009,29(12):1672-1678. |
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| Authors: | LUO Liping YANG Liu |
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| Institution: | Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421008 |
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| Abstract: | Oscillatioy properties of a class of nonlinear impulsive delay hyperbolic partial differential equations with higher order Laplace opertor is studied. By using the eigenvalue function method and first order impulsive delay differential inequalities, some sufficient criteria for the oscillation of all solutions of the equations are obtained under two kinds of different boundary conditions. The results fully reflect the influence of impulse and delay in oscillation. |
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| Keywords: | Impulse hyperbolic partial differential equation oscillation higher order Laplace operator |
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