| 非线性中立双曲型时滞偏微分方程解的振动性质 |
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| 引用本文： | 刘安平,何猛省.非线性中立双曲型时滞偏微分方程解的振动性质[J].应用数学和力学,2002,23(6):604-610. |
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| 作者姓名： | 刘安平 何猛省 |
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| 作者单位： | 1.中国地质大学, 数理系, 武汉, 430074; |
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| 基金项目： | 国家自然科学基金资助项目 (10 0 710 2 6 ) |
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| 摘 要： | 讨论一类多滞量非线性中立双曲型时滞偏微分方程解的振动性质,应用积分不等式和泛函微分方程的某些结果,获得了其一切解振动的一系列充分条件。结论充分表明了时滞量的决定性作用,指出了其与普通双曲型偏微分方程质的差异。
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| 关 键 词： | 中立 时滞 双曲型 振动 非线性 |
| 文章编号： | 1000-0887(2002)06-0604-07 |
| 收稿时间： | 2000-09-25 |
| 修稿时间： | 2000年9月25日 |
Oscillatory Properties of the Solutions of Nonlinear Delay Hyperbolic Differential Equations of Neutral Type |
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| LIU An_ping ,HE Meng_xing.Oscillatory Properties of the Solutions of Nonlinear Delay Hyperbolic Differential Equations of Neutral Type[J].Applied Mathematics and Mechanics,2002,23(6):604-610. |
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| Authors: | LIU An_ping HE Meng_xing |
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| Institution: | 1.Department of Mathematics and Physics, China University of Geosciences, Wuhan 430074, P R China;2.Department of Mathematics and Physics, Wuhan University of Technology, Wuhan 430070, P R China |
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| Abstract: | By making use of the integral inequalities and some results of the functional differential equations, oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations of neutral type with multi_delays were investigated and a series of sufficient conditions for oscillations of the equations were established. The results fully indicate that the oscillations are caused by delay and hence reveal the difference between these equations and those equations without delay. |
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| Keywords: | neutral delay hyperbolic oscillation nonlinear |
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