| 非线性中立双曲型偏微分方程的振动准则 |
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| 引用本文： | 罗李平,彭白玉,欧阳自根.非线性中立双曲型偏微分方程的振动准则[J].安徽大学学报(自然科学版),2007,31(1):5-8. |
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| 作者姓名： | 罗李平 彭白玉 欧阳自根 |
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| 作者单位： | 衡阳师范学院,数学系,湖南,衡阳,421008;南华大学,数学系,湖南,衡阳,421001 |
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| 基金项目： | 国家自然科学基金资助项目（10471086）. |
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| 摘 要： | 考虑一类非线性中立双曲型时滞偏泛函微分方程的振动性,利用Green定理和广义Riccati变换获得了这类方程在两类不同边值条件下所有解振动的若干充分判据.所得结论充分表明振动是由时滞量引起的,同时也揭示了其与普通双曲型偏微分方程质的差异.
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| 关 键 词： | 非线性 中立型 时滞双曲型方程 振动性 广义Riccati变换 |
| 文章编号： | 1000-2162（2007）01-0005-04 |
| 修稿时间： | 2006-05-26 |
Oscillation criteria of nonlinear neutral hyperbolic partial differential equations |
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| LUO Li-ping,PENG Bai-yu,OUYANG Zi-gen.Oscillation criteria of nonlinear neutral hyperbolic partial differential equations[J].Journal of Anhui University(Natural Sciences),2007,31(1):5-8. |
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| Authors: | LUO Li-ping PENG Bai-yu OUYANG Zi-gen |
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| Institution: | 1. Department of Mathematics, Hengyang Normal University, Hengyang 421008,China; 2. Department of Mathematics, Nanhua University, Hengyang 421001 ,China |
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| Abstract: | The oscillation of a class of nonlinear neutral delay hyperbolic partial functional differential equations are considered.By using Green theorem and the generalized Riccati transformation,some sufficient criteria for oscillation of all solutions of such equations are obtained under two different boundary value conditions.The results fully indicate that the oscillation are caused by delay and also reveal the difference between the equations and ordinary hyperbolic partial differential equations without delay. |
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| Keywords: | nonlinear neutral delay hyperbolic equation oscillation generalized Riccati transformation |
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