| 一类具正系数的四阶对称微分算子的极限点型 |
| |
| 引用本文： | 郭占宽,孙爱文.一类具正系数的四阶对称微分算子的极限点型[J].内蒙古大学学报(自然科学版),2001,32(4):367-372. |
| |
| 作者姓名： | 郭占宽 孙爱文 |
| |
| 作者单位： | 1. 内蒙古大学数学系;炮兵指挥学院基础部
2. 伊克昭盟水文勘测局, |
| |
| 基金项目： | 国家自然科学基金资助项目 (1 9871 0 3 7) |
| |
| 摘 要： | 将形如L＝（py″）″－（qy′）′的微分算式分解为两个二阶微分算式的乘积，在L有正的正界的条件下，L的亏指数即是上述两上微分算式的亏指数之和，从而为这种四阶微分算式的极限点的判别提供了新的简捷的方法，并给出了具有极限点性质的一种新颖的充分条件。
|
| 关 键 词： | 微分算子 亏指数 极限点 黎卡提方程 四阶对称 正系数 |
| 文章编号： | 1000-1638(2001)04-0367-06 |
| 修稿时间： | 2001年1月9日 |
On the Limit-point Case of a Class of Fourth-order Ordinary Differential Operators with Positive Coefficients |
| |
| GUO Zhan kuan ,SUN Ai wen.On the Limit-point Case of a Class of Fourth-order Ordinary Differential Operators with Positive Coefficients[J].Acta Scientiarum Naturalium Universitatis Neimongol,2001,32(4):367-372. |
| |
| Authors: | GUO Zhan kuan SUN Ai wen |
| |
| Institution: | GUO Zhan kuan 1,2,SUN Ai wen 3 |
| |
| Abstract: | Some fourth order ordinary differential expressions are decomposed into the products of two second order ordinary differential expressions,when L has a positive belower bound,the deficiency index of L is the sum of the deficiency indices of the two second order differential expressions.Thus,we proposed a new and concise method for judging the fourth order differential expressions to be limit point case,and gave a new sufficient condition of limit point case. |
| |
| Keywords: | ordinary differential operator deficiency index limit point Riccati equation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
