具有勢壘的Sturm-Liouville算子的特徵值和特徵函數(英文) |
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引用本文: | SARWAR Qanitah,黄振友,ZAHID Abdul Hannan,XU Xin-Jian.具有勢壘的Sturm-Liouville算子的特徵值和特徵函數(英文)[J].数学季刊,2023(1):50-61. |
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作者姓名: | SARWAR Qanitah 黄振友 ZAHID Abdul Hannan XU Xin-Jian |
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作者单位: | 1. Department of Applied Mathematics, Nanjing University of Science and Technology;2. Department of Chemical Engineering, University of Gujrat;3. Key Laboratory for Soft Chemistry and Functional Materials, Ministry of Education, Nanjing University of Science and Technology |
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摘 要: | We aim to find the eigenvalues and eigenfunctions of the barrier potential case for Strum-Liouville operator on the finite interval 0,π] when λ > 0. Generally, the eigenvalue problem for the Sturm-Liouville operator is often solved by using integral equations, which are sometimes complex to solve, and difficulties may arise in computing the boundary values. Considering the said complexity, we have successfully developed a technique to give the asymptotic formulae of the eigenvalue and the ei...
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