| 四阶左定差分算子的谱理论 |
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| 引用本文： | 皇甫秀丽.四阶左定差分算子的谱理论[J].太原师范学院学报(自然科学版),2012,11(1):65-68. |
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| 作者姓名： | 皇甫秀丽 |
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| 作者单位： | 天津大学数学系,天津,300072 |
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| 摘 要： | 研究差分方程边值问题解的存在性很早就受到人们的重视,得到不少很好的结果.文章是关于四阶左定差分方程边界值的谱理论,是二阶左定差分算子谱理论的推广.
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| 关 键 词： | 左定 四阶差分算子 谱理论 特征值 特征函数 |
Spectral Theory of Left Definite Difference Operators |
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| Institution: | Huangfu Xiuli(Department of Mathematics,Tianjin University,Tianjin 300072) |
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| Abstract: | Existence of eigenvalues of boundary value difference equation is valued and fundamental spectral results are obtained.The main idea concerned with the spectral theory for the forth-order left definite difference boundary value problems which extend the spectral theory of second-order difference operator. |
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| Keywords: | left definite forth-order difference operator eigenfunctions spectral theory eigenvalues |
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