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无穷维Jacobi算子特征值的连续依赖性

Continuous Dependence of Eigenvalues to Jacobi Operators with Infinite Dimensions
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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. 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.
作者 杜保营
出处 《宜宾学院学报》 2013年第12期5-7,共3页 Journal of Yibin University
基金 宜宾学院科研启动项目(2012Q13)
关键词 无穷维Jacobi算子 特征值 连续依赖性 Jaeobi operators with infinite dimensions eigenvalues continuous dependence.
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参考文献8

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