| 高阶奇异对称微分算子亏指数与一类方程适定性的关系 |
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| 引用本文： | 王兰宁.高阶奇异对称微分算子亏指数与一类方程适定性的关系[J].周口师范学院学报,2006,23(5):30-33. |
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| 作者姓名： | 王兰宁 |
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| 作者单位： | 南京邮电大学,数理学院,江苏,南京,210003 |
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| 摘 要： | 建立了偶数阶奇异对称正则微分算子亏指数与一类带边值条件方程解的适定性之间的等价关系，从方程适定性的角度解决了一类微分算子亏指数的判定问题，并将原有的关于极限点型亏指数的判定作为一种特例包含在内。
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| 关 键 词： | 对称常微分算子 亏指数 常微分方程 |
| 文章编号： | 1671-9476（2006）05-0030-04 |
| 收稿时间： | 2006-03-20 |
| 修稿时间： | 2006年3月20日 |
On the relationship of higer-order symmetric ordinary differential operators with middle deficiency indices and the well-posedness of a kind of ordinary differential equations |
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| WANG Lan-ning.On the relationship of higer-order symmetric ordinary differential operators with middle deficiency indices and the well-posedness of a kind of ordinary differential equations[J].Journal of Zhoukou Normal University,2006,23(5):30-33. |
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| Authors: | WANG Lan-ning |
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| Abstract: | In this paper, we give the sufficient and necessary conditions of the relationship between the deficiency indices of even order singular symmetric regular ordinary differential operators and the well-posedness of a kind of ordinary differential equations. |
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| Keywords: | symmetric ordinary differential operator deficiency index ordinary differential equation |
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