| 具非线性扩散系数的二阶中立型阻尼偏微分方程解的振动性 |
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| 引用本文： | 曾云辉.具非线性扩散系数的二阶中立型阻尼偏微分方程解的振动性[J].山东大学学报(理学版),2010,45(2):66-69. |
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| 作者姓名： | 曾云辉 |
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| 作者单位： | 衡阳师范学院数学与计算科学系,湖南,衡阳,421008 |
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| 基金项目： | 湖南省教育厅资助项目，衡阳师范学院青年科学基金 |
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| 摘 要： | 研究了一类具非线性扩散系数的二阶中立型阻尼偏微分方程解的振动性,通过利用Riccati变换、线性泛函算子理论和引入一类Φ(t,s,l)型的新函数,获得了该方程在两类边值条件下解振动的一些新的充分条件。
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| 关 键 词： | 阻尼项 非线性扩散系数 偏微分方程 |
| 收稿时间： | 2009-06-08 |
Oscillation of solutions of a second order neutral damped partial differential equation with a nonlinear diffusion coefficient |
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| ZENG Yun-hui.Oscillation of solutions of a second order neutral damped partial differential equation with a nonlinear diffusion coefficient[J].Journal of Shandong University,2010,45(2):66-69. |
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| Authors: | ZENG Yun-hui |
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| Institution: | Department of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421008, Hunan, China |
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| Abstract: | The oscillation of solutions of second order neutral damped partial differential equation with a nonlitw.ar diffusion coefficient is studied.Some new sufficient conditions for each solution to the oscillation are obtained under two kinds of boundary con-ditions by using Riccati transformation,theory of linear functional operator and introducing a class of new function φ(t,s,l). |
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| Keywords: | damped term nonlinear diffusion coefficient partial differential equation |
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