| 偶阶非对称微分算子离散谱准则 |
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| 引用本文： | 杨传富,黄振友,杨孝平. 偶阶非对称微分算子离散谱准则[J]. 数学进展, 2007, 36(2): 159-168 |
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| 作者姓名： | 杨传富 黄振友 杨孝平 |
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| 作者单位： | 南京理工大学应用数学系,南京,江苏,210094 |
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| 摘 要： | 本文研究了由2n阶复系数J-对称微分算式生成的J-自伴微分算子谱的离散性,分别得到了一类J-自伴微分算子谱离散的充分条件与必要条件,为判断一类微分算子谱的离散性提供了若干准则．
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| 关 键 词： | J-自伴微分算子 豫解算子 本质谱 离散谱 |
| 文章编号： | 1000-0917（2007）02-0159-10 |
| 收稿时间： | 2005-01-01 |
| 修稿时间： | 2005-01-01 |
Criteria for the Discrete Spectrum of Even-order Non-symmetric Differential Operators |
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| YANG Chuanfu,HUANG Zhenyou,YANG Xiaoping. Criteria for the Discrete Spectrum of Even-order Non-symmetric Differential Operators[J]. Advances in Mathematics(China), 2007, 36(2): 159-168 |
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| Authors: | YANG Chuanfu HUANG Zhenyou YANG Xiaoping |
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| Abstract: | In this work, we discuss the discreteness of the spectrum of J-self-adjoint differential operators that are generated by J-symmetric differential expression with complex-valued coefficients. Some criteria for the discrete spectrum of J-self-adjoint differential operators are obtained. |
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| Keywords: | J-self-adjoint differential operator resolvent operator essential spectrum discrete spectrum |
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