| 具高阶Laplace算子的脉冲时滞双曲型方程组的振动性 |
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| 引用本文： | 罗李平,杨柳,王艳群.具高阶Laplace算子的脉冲时滞双曲型方程组的振动性[J].云南大学学报(自然科学版),2009,31(1):11-15. |
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| 作者姓名： | 罗李平 杨柳 王艳群 |
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| 作者单位： | 衡阳师范学院, 数学系, 湖南 衡阳, 421008 |
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| 摘 要： | 讨论一类具高阶Laplace算子的脉冲时滞双曲型方程组的振动性,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2类不同边值条件下所有解振动的若干充分性条件.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： | 双曲型方程组 振动性 高阶Laplace算子 脉冲 时滞 |
| 收稿时间： | 2008-3-13 |
Oscillation of systems of impulsive delay hyperbolic equations with high order Laplace operator |
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| LUO Li-ping,YANG Liu,WANG Yan-qun.Oscillation of systems of impulsive delay hyperbolic equations with high order Laplace operator[J].Journal of Yunnan University(Natural Sciences),2009,31(1):11-15. |
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| Authors: | LUO Li-ping YANG Liu WANG Yan-qun |
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| Institution: | Department of Mathematics, Hengyang Normal University, Hengyang 421008, China |
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| Abstract: | The oscillation of the systems of a class of impulsive delay hyperbolic equations with high order Laplace operator is discussed.By using the eigenvalue function method and first order impulsive delay differential inequalities,some sufficient conditions for the oscillation of all solutions of the equations are obtained under two kinds of different boundary value conditions.The results fully reflect the influence action of impulsive and delay in oscillation. |
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