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| 偶数阶拟线性偏泛函微分方程系统有关边值问题的振动性 | |
| 引用本文： | 王智慧,罗李平,欧阳自根.偶数阶拟线性偏泛函微分方程系统有关边值问题的振动性[J].湖南师范大学自然科学学报,2006,29(1):5-8. |
| 作者姓名： | 王智慧 罗李平 欧阳自根 |
| 作者单位： | 1. 邵阳学院数学系,中国,邵阳,442004 2. 衡阳师范学院数学系,中国,衡阳,421008 3. 南华大学数学系,中国,衡阳,421001 |
| 基金项目： | 国家自然科学基金资助项目(10471086) |
| 摘 要： | 研究了一类偶数阶拟线性偏泛函微分方程系统在Robin,Dirichlet边值条件下解的振动性,通过使用直接积分法,获得了系统所有解振动的若干充分判据.这些结论推广和包含了已知的一些结果. |
| 关 键 词： | 偶数阶 拟线性 偏泛函微分方程系统 振动性 |
| 文章编号： | 1000-2537（2006）01-0005-04 |
| 收稿时间： | 2005-12-20 |
| 修稿时间： | 2005年12月20 |
Oscillation for Systems of Even Order Quasilinear Partial Functional Differential Equations about Boundary Value Problems |
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| WANG Zhi-hui,LUO Li-ping,OUYANG Zi-gen.Oscillation for Systems of Even Order Quasilinear Partial Functional Differential Equations about Boundary Value Problems[J].Journal of Natural Science of Hunan Normal University,2006,29(1):5-8. | |
| Authors: | WANG Zhi-hui LUO Li-ping OUYANG Zi-gen |
| Institution: | 1. Department of Mathematics of Shaoyang University, Shaoyang 422004, China; 2. Department of Mathematics of Hengyang Normal University, Hengyang 421008 China; 3. Department of Mathematics of Nanhua University, Hengyang 421001, China |
| Abstract: | The oscillation for the systems of a class of even order quasilinear partial functional differential equations under Robin and Dirichlet boundary value conditions is discussed.Some sufficient criteria for the oscillation of all solutions of the systems are obtained.These results generalize and include some known results. |
| Keywords: | even order quasilinear system of partial functional differential equation oscillation |
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