| 具阻尼项的偶数阶向量中立型偏微分方程的H-振动性 |
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| 引用本文： | 蔡江涛.具阻尼项的偶数阶向量中立型偏微分方程的H-振动性[J].山东大学学报(理学版),2011,46(11):75-80. |
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| 作者姓名： | 蔡江涛 |
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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： | 湖南省教育厅计划项目(10C0490) |
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| 摘 要： | 研究一类具有阻尼项的偶数阶向量中立型偏微分方程的H-振动性,借助于内积降维方法,利用Riccati变换并引入参数函数,获得该类方程在Robin和Dirichlet边值条件下所有解H-振动的充分判据。
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| 关 键 词： | 阻尼 中立型 偏微分方程 H-振动性 |
| 收稿时间： | 2010-12-02 |
H-oscillation of even order vector neutral partial differential equations with damped terms |
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| CAI Jiang-tao.H-oscillation of even order vector neutral partial differential equations with damped terms[J].Journal of Shandong University,2011,46(11):75-80. |
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| Authors: | CAI Jiang-tao |
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| Institution: | Deptartment of Mathematics and Computational Science, Hengyang Normal University, Hengyang 421008, Hunan, China |
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| Abstract: | The H-oscillation of a class of even order vector neutral partial differential equations with damped terms are studied. Some criteria of sufficient conditions for the H-oscillation of all solutions of the equations are obtained under Robin and Dirichlet boundary conditions by employing the method of reducing dimension with the inner product and making use of Riccati transformation and introducing parameter functions. |
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| Keywords: | damping neutral type partial differential equation H-oscillation |
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