| 具拟线性扩散系数的脉冲中立型抛物系统的(强)振动性 |
| |
| 引用本文： | 罗李平,俞元洪. 具拟线性扩散系数的脉冲中立型抛物系统的(强)振动性[J]. 振动与冲击, 2011, 30(8): 183-186. DOI: |
| |
| 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421008; 2.中国科学院应用数学研究所, 北京100080 |
| |
| 基金项目： | 湖南省教育厅科研项目(07C164) |
| |
| 摘 要： | 研究一类具拟线性扩散系数的脉冲中立型抛物偏微分系统解的(强)振动性, 直接利用振动的定义、Green公式和Newmann边值条件将这类脉冲中立型抛物系统的振动问题转化为脉冲中立型微分不等式不存在最终正解的问题, 并利用最终正解的定义和脉冲中立型微分不等式, 获得了该类系统(强)振动的充分判据. 所得结果充分反映了脉冲和时滞在振动中的影响作用.
|
| 关 键 词： | 拟线性扩散系数 脉冲 中立型 抛物偏微分系统 (强)振动 |
| 收稿时间： | 2009-01-20 |
| 修稿时间： | 2010-08-18 |
(Strong) oscillation for systems of impulsive neutral parabolic equations with quasilinear diffusion coefficient |
| |
| LUO Li-ping,YU Yuan-hong. (Strong) oscillation for systems of impulsive neutral parabolic equations with quasilinear diffusion coefficient[J]. Journal of Vibration and Shock, 2011, 30(8): 183-186. DOI: |
| |
| Authors: | LUO Li-ping YU Yuan-hong |
| |
| Affiliation: | 1.Department of Mathematics and Computational Science, Hengyang Normal University, Hunan 421008;2.Institute of Applied Mathematics, Academia Sinica, Beijing 100080 |
| |
| Abstract: | The(strong) oscillation of solutions for the systems of a class of impulsive neutral parabolic partial differential equations with quasilinear diffusion coefficient was studied.By using the definition of oscillation,Green's formula and Neumann boundary condition directly,the problem of solution oscillation for the systems of impulsive neutral parabolic equations was reduced to the problem of whether the impulsive neutral differential inequality has or not eventually positive solution,and thereby some suffic... |
| |
| Keywords: | quasilinear diffusion coefficient impulse system of neutral parabolic partial differential equations (strong) oscillation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《振动与冲击》浏览原始摘要信息 |
|
点击此处可从《振动与冲击》下载全文 |
