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Refining eigenvalue estimates for a string with a singular weight - MaRDI portal

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Refining eigenvalue estimates for a string with a singular weight (Q2064220)

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scientific article; zbMATH DE number 7452230
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Refining eigenvalue estimates for a string with a singular weight
scientific article; zbMATH DE number 7452230

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    Refining eigenvalue estimates for a string with a singular weight (English)
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    5 January 2022
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    In this paper, the author investigates eigenvalue estimates. That is, the author proves that the eigenvalues of the operator pencil \(A(\lambda)\), where \(A(\lambda) \equiv L-\lambda V\), \(L\equiv-y^{\prime\prime}+q(x)y\), satisfy the estimate \(\vert \lambda_{n}\vert \geq Cn\) \ for all \(n\in\mathbb{N}\), where \(C\) is a constant independent of the number \(n\).
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    eigenvalue estimate
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    singular weight
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