| 关于一类具有中间亏指数的正系数的对称微分算子 |
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| 引用本文： | 郭占宽 孙炯. 关于一类具有中间亏指数的正系数的对称微分算子[J]. 数学学报, 2000, 43(6): 1031-1039 |
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| 作者姓名： | 郭占宽 孙炯 |
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| 作者单位： | 郭占宽（内蒙古大学数学系内蒙古呼和浩特010021）;孙炯（内蒙古大学数学系内蒙古呼和浩特 010021） |
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| 基金项目： | 国家自然科学基金资助项目(9871037) |
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| 摘 要： | 本文研究了一类具有中间亏指数的正系数的对称微分算式
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| 关 键 词： | 常微分算子 亏指数 极限点 |
| 文章编号： | 0583-1431(2000)06-1031-10 |
| 修稿时间： | 1999-01-13 |
A Class of PositiveCoefficient Ordinary Differential Operators with Middle Deficiency Indexes |
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| GUO Zhan-kuan. A Class of PositiveCoefficient Ordinary Differential Operators with Middle Deficiency Indexes[J]. Acta Mathematica Sinica, 2000, 43(6): 1031-1039 |
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| Authors: | GUO Zhan-kuan |
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| Abstract: | In the paper, we considered a class of ordinary differential expressions as following:=0(-1)kDkeanxDk and =0(-1)kakDkenxDk, proved that their indexes are {n, n 2,..., 2n- l} or {n, n 2,..., 2n-2} or a subset of them, and gave some examples of positive coefficient ordinary differential operators with middle deficiency indexes. These examples show that positive coefficient ordinary differential operators needn't to be all limit-point, this is, we give a negative answer to Everitt's conjecture in another way. |
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| Keywords: | Ordinary differential operator Deficiency index Limit-point |
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