| 无穷维Jacobi算子特征值的连续依赖性 |
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| 引用本文： | 杜保营.无穷维Jacobi算子特征值的连续依赖性[J].宜宾师范高等专科学校学报,2013(12):5-7. |
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| 作者姓名： | 杜保营 |
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| 作者单位： | 宜宾学院数学研究所,四川宜宾644007 |
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| 基金项目： | 宜宾学院科研启动项目（2012Q13） |
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| 摘 要： | Jacobi算子是Sturm-Liouville算子的离散化,通过对无穷维Jacobi算子的特征值的性质进行探讨,得出了无穷维Jacobi算子的特征值对其系数具有连续依赖性的结论,并给出了严格的数学证明.
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| 关 键 词： | 无穷维Jacobi算子 特征值 连续依赖性 |
Continuous Dependence of Eigenvalues to Jacobi Operators with Infinite Dimensions |
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| DU Bao-ying.Continuous Dependence of Eigenvalues to Jacobi Operators with Infinite Dimensions[J].Journal of Yibin Teachers College,2013(12):5-7. |
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| Authors: | DU Bao-ying |
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| Institution: | DU Bao-ying (Institute of Mathematical Science, Yibin University, Yibin, Sichuan 644007, China) |
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| Abstract: | The Jacobi operators is the discrete form of Sturm - Liouville operators. Through inquiring into the properties of eigen- values to Jacobi operators with infinite dimensions a very nice conclusion was obtained： Eigenvalues to Jacobi operators with infi- nite dimensions depend on its coefficient in succession with the strict mathematical proof. |
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| Keywords: | Jaeobi operators with infinite dimensions eigenvalues continuous dependence |
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