| 一类偶数阶非线性中立型阻尼偏微分方程解的振动准则 |
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| 引用本文： | 蔡江涛,肖娟,杨柳.一类偶数阶非线性中立型阻尼偏微分方程解的振动准则[J].合肥工业大学学报(自然科学版),2009,32(11). |
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| 作者姓名： | 蔡江涛 肖娟 杨柳 |
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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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| 基金项目： | 湖南省自然科学基金资助项目，湖南省教育厅科研基金资助项目 |
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| 摘 要： | 研究一类具有阻尼项的偶数阶非线性中立型偏微分方程解的振动性,通过利用Riccati变换、引入一类Φ(t,s,l)型的新函数,获得该类方程在Robin、Dirichlet边值条件下振动的充分判据.
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| 关 键 词： | 阻尼 中立型 偏微分方程 振动性 |
Oscillation of solutions to a class of even order nonlinear neutral damped partial differential equations |
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| CAI Jiang-tao,XIAO Juan,YANG Liu.Oscillation of solutions to a class of even order nonlinear neutral damped partial differential equations[J].Journal of Hefei University of Technology(Natural Science),2009,32(11). |
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| Authors: | CAI Jiang-tao XIAO Juan YANG Liu |
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| Abstract: | Oscillatory properties of solutions to a class of even order nonlinear neutral damped partial differential equations are studied. Some criteria of sufficient conditions for the oscillation of all possible solutions of the equations are obtained under Robin and Dirichlet boundary conditions by making use of Riccati transformation and introducing a class of new functions Φ(t,s,l). |
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| Keywords: | damping neutral type partial differential equation oscillation |
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