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Eigenvalue ratios for Sturm–Liouville problems

Journal of Mathematical Physics
In this paper, we prove the optimal lower bound λ2λ1≥4 of the Sturm-Liouville problem −(p(x)y′)′ + q(x)y = λρ(x)y, with Dirichlet boundary conditions for single-well potential q and single-barrier function pρ on [0,1]. In the case of symmetric coefficients, we establish the lower bound λnλ1≥n2 for single-well q and single-barrier function pρ with λ1 ...
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The inverse sturm‐liouville problem

Communications on Pure and Applied Mathematics, 1973
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Sturm–Liouville Problems

2009
Ravi P. Agarwal, Donal O’Regan
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An inverse eigenvalue problem for a nonlocal Sturm-Liouville operator

Journal of Mathematical Analysis and Applications, 2021
Pengcheng Niu, Guangsheng Wei, Xuewen Wu
exaly

The Inverse Sturm-Liouville Problem

1998
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Variational methods for the fractional Sturm–Liouville problem

Journal of Mathematical Analysis and Applications, 2014
Małgorzata Klimek +2 more
exaly

An interior inverse problem for the Sturm–Liouville operator with discontinuous conditions

Applied Mathematics Letters, 2009
Yang Chuan-Fu
exaly