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A directed set of Sturm–Liouville operators
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1981 SynopsisAsymptotic estimates for the eigenvalues and eigenfunctions of a directed set of Sturm–Liouville operators are obtained. Particular attention is paid to the influence of the diffusion coefficient, as it becomes arbitrarily large.
Harold E. Benzinger
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Hausdorff operators associated with the Sturm–Liouville operator
Rendiconti Del Circolo Matematico Di PalermozbMATH Open Web Interface contents unavailable due to conflicting licenses.
Fethi Soltani
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Traces for Sturm–Liouville Operators with Frozen Argument on Star Graphs
Results in Mathematics, 2020Yang Chuan-Fu +2 more
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Optimal maximal gaps of Dirichlet eigenvalues of Sturm–Liouville operators
Journal of Mathematics and Physics, 2022In this paper, we consider the gaps λ2 n( q) − λ1( q) for the Dirichlet eigenvalues { λ m( q)} of Sturm–Liouville operators with potentials q on the unit interval.
Shuyuan Guo +3 more
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Inverse problems for Sturm–Liouville operators on a star-shaped graph with mixed spectral data
Applicable Analysis, 2020The partial inverse spectral problem for Sturm–Liouville operators on a star-shaped graph was studied. The authors showed that if the potentials but one were known a priori, then the unknown potential on the whole interval can be uniquely determined by ...
Yu-Ping Wang, Chung-Tsun Shieh
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Inverse problems for discontinuous Sturm-Liouville operators with mixed spectral data
Inverse Problems in Science and Engineering, 2015Yu Ping Wang
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An Inverse Problem for the Sturm–Liouville Operator
Mathematical Notes, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Inverse problems for Sturm–Liouville operators on a compact equilateral graph by partial nodal data
Mathematical methods in the applied sciences, 2020Partial inverse nodal problems for Sturm–Liouville operators on a compact equilateral star graph are investigated in this paper. Uniqueness theorems from partial twin‐dense nodal subsets in interior subintervals or arbitrary interior subintervals having ...
Yu-Ping Wang, Chung-Tsun Shieh
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2002
Sturm—Liouville equations arise in many applications of electromagnetics, including in the formulation of waveguiding problems using scalar potentials, and using scalar components of vector fields and potentials. Sturm— Liouville equations are also encountered in separation-of-variables solutions to Laplace and Helmholtz equations, making a connection ...
George W. Hanson, Alexander B. Yakovlev
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Sturm—Liouville equations arise in many applications of electromagnetics, including in the formulation of waveguiding problems using scalar potentials, and using scalar components of vector fields and potentials. Sturm— Liouville equations are also encountered in separation-of-variables solutions to Laplace and Helmholtz equations, making a connection ...
George W. Hanson, Alexander B. Yakovlev
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