| 中立型向量双曲偏微分方程的H-振动性 |
| |
| 引用本文： | 罗李平,俞元洪.中立型向量双曲偏微分方程的H-振动性[J].数学杂志,2011,31(5):893-898. |
| |
| 作者姓名： | 罗李平 俞元洪 |
| |
| 作者单位： | 1. 衡阳师范学院数学与计算科学系,湖南衡阳,421008
2. 中国科学院应用数学研究所,北京,100080 |
| |
| 基金项目： | 国家自然科学天元基金资助项目(10626033); 湖南省教育厅资助科研项目(07C164) |
| |
| 摘 要： | 本文研究了一类中立型向量双曲偏微分方程边值问题的振动性.利用Domslak引进的H-振动的概念及内积降维的方法,将多维振动问题化为一维泛函微分不等式正解的不存在性问题,获得了该类边值问题在Dirichlet边界条件下所有解H-振动的若干新的充分条件,其中H是Rm中的单位向量.
|
| 关 键 词： | 中立型 双曲型 向量偏微分方程 H-振动性 |
H-OSCILLATION OF NEUTRAL VECTOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS |
| |
| LUO Li-ping,YU Yuan-hong.H-OSCILLATION OF NEUTRAL VECTOR HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS[J].Journal of Mathematics,2011,31(5):893-898. |
| |
| Authors: | LUO Li-ping YU Yuan-hong |
| |
| Institution: | LUO Li-ping 1,YU Yuan-hong 2 (1.Department of Mathematics and Computational Science,Hengyang Normal University,Hengyang 421008,China) (2.Institute of Applied Mathematics,Academia Sinica,Beijing 100080,China) |
| |
| Abstract: | In this article,we investigate the oscillations of boundary value problems for a class of neutral vector hyperbolic partial differential equations.By employing the concept of H-oscillation introduced by Domslak and the method of reducing dimension with scalar product,we reduce the multi-dimensional oscillation problems to the nonexistence problems of positive solutions of one-dimensional functional differential inequalities,some new sufficient conditions for the H-oscillation of all solutions of the boundar... |
| |
| Keywords: | neutral type hyperbolic vector partial differential equation H-oscillation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
