| 二阶含阻尼项椭圆型微分方程解的振动与非振动的判定 |
| |
| 引用本文： | 徐志庭. 二阶含阻尼项椭圆型微分方程解的振动与非振动的判定[J]. 数学学报, 2004, 47(6): 1099-110. DOI: cnki:ISSN:0583-1431.0.2004-06-006 |
| |
| 作者姓名： | 徐志庭 |
| |
| 作者单位： | 华南师范大学数学系,广州,510631 |
| |
| 摘 要： | 利用Riccati技巧,对二阶含阻尼项椭圆型微分方程∑i,j=1N Di[aij(x)Djy]+∑i=1N bi(x)Diy+q(x)f(y)=0给出解非振动的必要条件,进而建立上述方程振动的充分准则.
|
| 关 键 词： | 振动 非振动 二阶椭圆型微分方程 |
| 文章编号： | 0583-1431(2004)06-1099-08 |
Oscillation and Nonoscillation of Solutions of Second Order Damped Elliptic Differential Equations |
| |
| Zhi Ting XU. Oscillation and Nonoscillation of Solutions of Second Order Damped Elliptic Differential Equations[J]. Acta Mathematica Sinica, 2004, 47(6): 1099-110. DOI: cnki:ISSN:0583-1431.0.2004-06-006 |
| |
| Authors: | Zhi Ting XU |
| |
| Affiliation: | Zhi Ting XU (Department of Mathematics, South China Normal University, Guangzhou 510631, P. R. China) |
| |
| Abstract: | By using Riccati technique, some necessary conditions are established for nonoscillation of solution of second order damped elliptic differential equation ∑i,j=1N.Di[aij(x)Djy] +∑i=1N bi(x)Diy + q(x)f(y)=0. Using these results, we obtain some oscillation criteria for the above equation. |
| |
| Keywords: | Oscillation Nonoscillation Second order elliptic differential equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
|
点击此处可从《数学学报》下载全文 |
